Exhibit 99.1
                                                               ------------
IMMEDIATELY -- June 2, 2000
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Jack Liles:  (601) 933-1240


                     HIGH ROAD COMMENCES TENDER OFFER
                 TO ACQUIRE KLLM TRANSPORT SERVICES, INC.

JACKSON,  MS -- June 2, 2000 -- High Road Acquisition Corp. announced today
that its wholly-owned  subsidiary,  High Road Acquisition Subsidiary Corp.,
has  commenced  its  previously announced  tender  offer  for  all  of  the
outstanding shares of common stock of KLLM Transport Services, Inc. (Nasdaq
National Market-KLLM)  for  $8.05  per  share  in  cash.   The  offer  will
initially  expire 12:00 midnight, New York City time, on June 29, 2000, but
may be extended under certain circumstances.

The tender offer  is  being made pursuant to a Plan and Agreement of Merger
dated as of May 25, 2000.   KLLM's  Board  of  Directors  has  approved the
transaction  and  has  recommended  that  KLLM's stockholders tender  their
shares into the tender offer.  The tender offer  is conditioned upon, among
other  things,  (1)  there being tendered and not withdrawn  prior  to  the
expiration date of the  offer  at  least  a  majority of the shares of KLLM
common stock outstanding on a fully diluted basis,  and  (2) the expiration
or termination of the applicable waiting period under the Hart-Scott-Rodino
Antitrust Improvements Act of 1976.

Following successful completion of the tender offer, High Road will acquire
for the same cash price any shares that are not tendered,  by  means  of  a
merger of KLLM with High Road Acquisition Subsidiary Corp.

The  tender  offer  is made only by an offer to purchase and other offering
documents, copies of which have been filed with the Securities and Exchange
Commission and will be  mailed  to  KLLM  stockholders.   Stockholders  are
advised  to  read the tender offer documents because they contain important
information.   Stockholders may obtain a copy of the tender offer documents
and other documents  filed  with  the SEC for free at the SEC's web site at
http://www.sec.gov.   Georgeson Shareholder  Communications,  Inc.  is  the
Information Agent, and  the tender offer documents, including the letter of
transmittal, may also be obtained from it by calling 1-800-223-2064.

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