

CONSENT OF INDEPENDENT ACCOUNTANTS


We consent to the  incorporation by reference in the  registration  statement of
Covenant  Transport,  Inc. on Form S-8 of our report dated May 27, 1998,  on our
audit of the  Covenant  Transport,  Inc.  401(k) and Profit  Sharing  Plan as of
December 31, 1997, which report is included in this Annual Report of Form 11-K.



                                             COOPERS & LYBRAND L.L.P.

Knoxville, Tennessee
June 29, 1998




<PAGE>

