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                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                 SCHEDULE 13G/A


                    Under the Securities Exchange Act of 1934
                               (Amendment No. 6)*

                            Covenant Transport, Inc.
                                (Name of Issuer)

                      Class A Common Stock, Par Value $.01
                         (Title of Class of Securities)

                                    22284P105
                                 (CUSIP Number)

                                December 31, 2003
             (Date of Event Which Requires Filing of this Statement)


Check the  appropriate box to designate the rule pursuant to which this Schedule
is filed:

      [ ] Rule 13d-1(b)

      [ ] Rule 13d-1(c)

      [X] Rule 13d-1(d)

*The  remainder of this cover page shall be filled out for a reporting  person's
initial filing on this form with respect to the subject class of securities, and
for any  subsequent  amendment  containing  information  which  would  alter the
disclosures provided in a prior cover page.

The information required in the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the  Securities  Exchange  Act of
1934 ("Act") or otherwise  subject to the liabilities of that section of the Act
but  shall be  subject  to all other  provisions  of the Act  (however,  see the
Notes).



     Persons who respond to the collection of information contained in this
     form are not required to respond unless the form displays a currently
                            valid OMB control number.

SEC 1745 (12-02)

                                     Page 1

CUSIP No.                                                             22284P105

-------------------------------------------------------------------------------
1.  Names of Reporting Persons      David R. Parker and Jacqueline F. Parker(1)
    I.R.S. Identification Nos.
    of above persons (entities
    only)

-------------------------------------------------------------------------------
2.  Check the Appropriate Box if a Member of a Group (See Instructions)

    (a) [ ]

    (b) [ ]

-------------------------------------------------------------------------------
3.  SEC Use Only

-------------------------------------------------------------------------------
4.  Citizenship or Place of Organization               United States of America

-------------------------------------------------------------------------------
Number of        5. Sole Voting Power                              5,522,367(2)
Shares           --------------------------------------------------------------
Beneficially     6. Shared Voting Power                                       0
Owned by         --------------------------------------------------------------
Each Reporting   7. Sole Dispositive Power                         5,522,367(2)
Person           --------------------------------------------------------------
With:            8. Shared Dispositive Power                                  0
-------------------------------------------------------------------------------
9.  Aggregate Amount Beneficially Owned by Each Reporting Person   5,522,367(2)
-------------------------------------------------------------------------------
10. Check if the Aggregate Amount in Row (9) Excludes Certain Shares
    (See Instructions)                                                      [ ]

-------------------------------------------------------------------------------
11. Percent of Class Represented by Amount in Row (9)                  36.9%(3)

-------------------------------------------------------------------------------
12. Type of Reporting Person (See Instructions)                              IN

-------------------------------------------------------------------------------

(1)  Shares reported are based upon the December 31, 2003,  holdings of David R.
     Parker and Jacqueline F. Parker. All shares are held by Mr. and Mrs. Parker
     as joint  tenants  with right of  survivorship,  with the  exception of (a)
     10,269  shares of Class A Common  Stock  allocated  to the  account  of Mr.
     Parker  under the  Company's  401(k)  plan,  (b) 306,098  shares of Class A
     Common  Stock that Mr.  Parker does not yet own,  but with respect to which
     Mr. Parker has currently  exercisable options to purchase,  and (c) 100,000
     shares  of  Class  A  Common  Stock  owned  by the  Parker  Family  Limited
     Partnership (of which Mr. and Mrs. Parker are the two general  partners and
     possess sole voting and investment control).

(2)  Includes (i) 2,756,000 shares of Class A Common Stock owned by Mr. and Mrs.
     Parker as joint tenants with right of survivorship,  (ii) 100,000 shares of
     Class A Common Stock owned by the Parker  Family  Limited  Partnership  (of
     which Mr. and Mrs.  Parker are the two general  partners  and possess  sole
     voting and investment control), (iii) 10,269 shares of Class A Common Stock
     allocated  to the account of Mr.  Parker under the  Company's  401(k) plan,
     (iv) 133,750,  18,250,  10,000, 7,206, 10,000,  110,000,  6,667, 3,334, and
     6,891 shares of Class A Common Stock that Mr.  Parker does not yet own, but
     with  respect to which Mr.  Parker  has  currently  exercisable  options to
     purchase for $15.50,  $12.375,  $13.00, $13.125,  $12.1875,  $8.00, $16.79,
     $15.39,  and $17.30 per share,  respectively,  and (v) 2,350,000  shares of
     Class B Common  Stock,  which is not  registered  under  Section  12 of the
     Securities  Exchange  Act of  1934.  There  are no  additional  options  to
     purchase that are exercisable within sixty days.

(3)  Covenant  Transport has both Class A and Class B Common Stock.  The Class A
     Common Stock has one vote per share. The Class B Common Stock has two votes
     per  share  while  beneficially  owned by  David,  Jacqueline,  Rachel,  or
     Jonathan Parker. The Class B Common Stock is currently  controlled by David
     and  Jacqueline  Parker.  Each share of Class B Common Stock is

                                     Page 2

     convertible  into the same number of shares of Class A Common  Stock (a) at
     any time at the election of the holder and (b) automatically  upon transfer
     to any person other than members of Mr. and Mrs. Parker's immediate family.
     As of December 31,  2003,  there were  12,323,526  shares of Class A Common
     Stock  and  2,350,000  shares  of Class B  Common  Stock  outstanding.  The
     percentage  indicated is based upon 14,979,624  shares  outstanding,  which
     includes the 2,350,000  shares of Class B Common Stock  convertible into an
     equal  number  of  shares  of  Class A Common  Stock,  and  306,098  shares
     underlying Mr. Parker's currently  exercisable  options. As a result of the
     two  class  structure,  as of  December  31,  2003,  Mr.  and  Mrs.  Parker
     controlled stock possessing  approximately 45.4% of the voting power of all
     outstanding Company stock.

Item 1.
         (a) Name of Issuer                            Covenant Transport, Inc.
         (b) Address of Issuer's                       400 Birmingham Highway
             Principal Executive Offices               Chattanooga, TN 37419

Item 2.
         (a) Name of Person Filing  David R. Parker and Jacqueline F. Parker(1)
         (b) Address of Principal Business Office        400 Birmingham Highway
             or, if none, Residence                      Chattanooga, TN  37419
         (c) Citizenship                               United States of America
         (d) Title of Class
             of Securities    Class A Common Stock, par value $.01 per share(2)
         (e) CUSIP Number                                             22284P105

Item 3.  If this statement is filed pursuant to Section 240.13d-1(b)
         or 240.13d-2(b) or (c), check whether the person filing is a:      N/A

Item 4.  Ownership
Provide the following  information regarding the aggregate number and percentage
of the class of securities of the issuer identified in Item 1.
         (a) Amount beneficially owned:                            5,522,367(3)
                                                                ---------------
         (b) Percent of class:                                         36.9%(2)
                                                                ---------------
         (c) Number of shares as to which the person has:
              (i)   Sole power to vote or to direct the vote       5,522,367(3)
                                                                ---------------
              (ii)  Shared power to vote or to direct the vote                0
                                                                ---------------
              (iii) Sole power to dispose or to direct the
                    disposition of                                 5,522,367(3)
                                                                 --------------
              (iv)  Shared power to dispose or to direct the
                    disposition of                                            0
                                                                 --------------

(1)  Shares reported are based upon the December 31, 2003,  holdings of David R.
     Parker and Jacqueline F. Parker. All shares are held by Mr. and Mrs. Parker
     as joint  tenants  with right of  survivorship,  with the  exception of (a)
     10,269  shares of Class A Common  Stock  allocated  to the  account  of Mr.
     Parker  under the  Company's  401(k)  plan,  (b) 306,098  shares of Class A
     Common  Stock that Mr.  Parker does not yet own,  but with respect to which
     Mr. Parker has currently  exercisable options to purchase,  and (c) 100,000
     shares  of  Class  A  Common  Stock  owned  by the  Parker  Family  Limited
     Partnership (of which Mr. and Mrs. Parker are the two general  partners and
     possess sole voting and investment control).

(2)  Covenant  Transport has both Class A and Class B Common Stock.  The Class A
     Common Stock has one vote per share. The Class B Common Stock has two votes
     per  share  while  beneficially  owned by  David,  Jacqueline,  Rachel,  or
     Jonathan Parker. The Class B Common Stock is currently  controlled by David
     and  Jacqueline  Parker.  Each share of Class B Common Stock is convertible
     into the same  number of shares of Class A Common  Stock (a) at any time at
     the  election  of the holder and (b)  automatically  upon  transfer  to any
     person other than members of Mr. and Mrs. Parker's  immediate family. As of
     December 31, 2003, there were 12,323,526 shares of Class A Common Stock and
     2,350,000  shares  of  Class B Common  Stock  outstanding.  The  percentage
     indicated is based upon 14,979,624 shares  outstanding,  which includes the
     2,350,000  shares of Class B Common Stock  convertible into an equal number
     of  shares of Class A Common  Stock,  and  306,098  shares  underlying  Mr.
     Parker's  currently  exercisable  options.  As a  result  of the two  class
     structure,  as of December 31, 2003, Mr. and Mrs. Parker  controlled  stock
     possessing  approximately  45.4% of the  voting  power  of all  outstanding
     Company stock.

(3)  Includes (i) 2,756,000 shares of Class A Common Stock owned by Mr. and Mrs.
     Parker as joint tenants with right of survivorship,  (ii) 100,000 shares of
     Class A Common Stock owned by the Parker  Family  Limited  Partnership  (of
     which Mr. and Mrs.  Parker are the two general  partners  and possess  sole
     voting and investment control), (iii) 10,269 shares of Class A Common Stock
     allocated  to the account of Mr.  Parker under the  Company's  401(k) plan,
     (iv) 133,750,  18,250,  10,000, 7,206, 10,000,  110,000,  6,667, 3,334, and
     6,891 shares of Class A Common Stock that Mr.  Parker does not yet own, but
     with  respect to which Mr.  Parker  has  currently  exercisable  options to
     purchase for $15.50,  $12.375,  $13.00, $13.125,  $12.1875,  $8.00, $16.79,
     $15.39,  and $17.30 per share,  respectively,  and (v) 2,350,000  shares of
     Class B Common Stock, which is not registered
                                     Page 3

     under  Section  12 of the  Securities  Exchange  Act of 1934.  There are no
     additional options to purchase that are exercisable within sixty days.

Item 5.  Ownership of Five Percent or Less of a Class
If this  statement  is being filed to report the fact that as of the date hereof
the  reporting  person has ceased to be the  beneficial  owner of more than five
percent of the class of securities, check the following  [ ].

Item 6.  Ownership of More than Five Percent on Behalf of
         Another Person                                                     N/A

Item 7.  Identification and Classification of the Subsidiary Which
         Acquired the Security Being Reported on By the Parent
         Holding Company                                                    N/A

Item 8.  Identification and Classification of Members of the Group          N/A

Item 9.  Notice of Dissolution of Group                                     N/A

Item 10. Certification                                                      N/A


                                    SIGNATURE

After  reasonable  inquiry and to the best of my knowledge and belief, I certify
that the information set forth in this statement is true,  complete and correct,
and that this  statement is filed on behalf of myself and the other  signatories
hereto.

                                               February 17, 2004
                                     ------------------------------------------
                                                      Date

                                      /s/ Heidi Hornung-Scherr by POA
                                     ------------------------------------------
                                                   Signature

                                       David R. Parker, Individually, by
                                       Heidi Hornung-Scherr, attorney-in-fact,
                                       pursuant to a POA previously filed with
                                       the SEC
                                     ------------------------------------------
                                                   Name/Title

                                      /s/ Heidi Hornung-Scherr, by POA
                                     ------------------------------------------
                                                   Signature

                                       Jacqueline F. Parker, Individually, by
                                       Heidi Hornung-Scherr, attorney-in-fact,
                                       pursuant to a POA filed herewith
                                     ------------------------------------------
                                                   Name/Title






                                     Page 4