EXHIBIT (a)(1)(H)


This announcement is neither an offer to purchase nor a solicitation of an offer
to sell Shares (as defined below).  The Offer (as defined below) is made only by
the Offer to Purchase dated June 2, 2000, and the related Letter of Transmittal
and is being made to all holders of Shares.  Purchaser (as defined below)  is
not aware of any state where the making of the Offer is prohibited by
administrative or judicial action pursuant to a state statute.  If Purchaser
becomes aware of any valid state statute prohibiting the making of the Offer,
Purchaser will make a reasonable good faith effort to comply with such statute
or seek to have such statute declared inapplicable to the Offer.  If, after such
reasonable good faith effort, Purchaser cannot comply with such statute, the
Offer will not be made to (nor will tenders be accepted from or on behalf of)
the holders of Shares in such state. In those jurisdictions where the
securities, blue sky or other laws require the Offer to be made by a licensed
broker or dealer, the Offer shall be deemed to be made on behalf of Purchaser by
one or more registered brokers or dealers licensed under the laws of such
jurisdiction.

                      NOTICE OF OFFER TO PURCHASE FOR CASH
                     ALL OUTSTANDING SHARES OF COMMON STOCK
         (INCLUDING THE ASSOCIATED RIGHTS TO PURCHASE PREFERRED STOCK)
                                       of
                         KLLM TRANSPORT SERVICES, INC.
                                       at
                              $8.05 NET PER SHARE
                                       by
                     HIGH ROAD ACQUISITION SUBSIDIARY CORP.
                         a corporation wholly owned by
                          HIGH ROAD ACQUISITION CORP.

     High Road Acquisition Subsidiary Corp., a Delaware corporation
("Purchaser") and wholly owned by High Road Acquisition Corp., a Delaware
corporation ("Parent"), is offering to purchase all of the outstanding shares of
common stock, par value $1.00 per share (the "Common Stock"), of KLLM Transport
Services, Inc., a Delaware corporation (the "Company"), including the associated
rights to purchase preferred stock (the "Rights") issued pursuant to the
Stockholder Protection Rights Agreement, dated as of February 13, 1997 (the
"Rights Agreement"), between the Company and Harris Trust and Savings Bank, as
successor Rights Agent (the Common Stock and the Rights are referred to herein
as the "Shares"), at $8.05 per Share, net to the seller in cash, upon the terms
and subject to the conditions set forth in the Offer to Purchase, dated June 2,
2000 (the "Offer to Purchase"), and in the related Letter of Transmittal (which
together with any supplements thereto collectively constitute the "Offer").
Tendering stockholders who have Shares registered in their name and who tender
directly will not be charged brokerage fees or commissions or, subject to
Instruction 6 of the Letter of Transmittal, stock transfer taxes on the purchase
of Shares by Purchaser pursuant to the Offer.

        THE OFFER AND WITHDRAWAL RIGHTS WILL EXPIRE AT 12:00 MIDNIGHT,
                     NEW YORK CITY TIME, ON JUNE 29, 2000,
                         UNLESS THE OFFER IS EXTENDED.


     The Offer is conditioned upon, among other things: (1) there being validly
tendered and not properly withdrawn prior to the expiration of the Offer a
number of Shares that, together with the 689,123 Shares (the "Liles Shares")
owned by William J. Liles, III, his wife and four trusts of which Mr. Liles is a
trustee, co-trustee and/or a beneficiary, would represent at least a majority of
Shares outstanding on the date of purchase on a fully diluted basis and (2) the
termination or expiration of any applicable waiting period under the Hart-Scott-
Rodino Antitrust Improvements Act of 1976, as amended.  The Offer is also
subject to certain other conditions described in Section 11 of the Offer to
Purchase.  The Offer is not conditioned upon Parent or Purchaser obtaining
financing.

     The purpose of the Offer is to acquire for cash a majority of the
outstanding Shares of, and ultimately the entire equity interest in, the
Company.  The Offer is being made pursuant to a Plan of Merger and Agreement
(the "Merger Agreement") dated May 25, 2000 by and among Parent, Purchaser and
the Company.  The Merger Agreement provides, among other things, for the making
of the Offer to Purchase, and further provides that, following the completion of
the Offer, upon the terms and conditions of the Merger Agreement, and in
accordance with the Delaware General Corporation Law (the "DGCL"), Purchaser
will be merged with and into the Company (the "Merger").  The Company will
continue as the surviving corporation after the Merger and become a wholly owned
subsidiary of Parent.  At the effective time of the Merger, each then
outstanding Share (other than Shares held by the Company in treasury, or owned
by Parent or Purchaser, or Shares, if any, that are held by stockholders who are
entitled to and who properly exercise appraisal rights under Delaware law) would
be converted pursuant to the terms of the Merger Agreement into the right to
receive $8.05 in cash paid pursuant to the Offer, without interest.  The sale of
Shares pursuant to the Offer and Merger will be taxable transactions for federal
income tax purposes.

     For purposes of the Offer, Purchaser will be deemed to have accepted for
payment (and thereby purchased) Shares validly tendered and not properly
withdrawn as, if and when Purchaser gives oral or written notice to Harris Trust
Company of New York (the "Depositary") of its acceptance for payment of such
Shares pursuant to the Offer.  Upon the terms and subject to the conditions of
the Offer, payment for Shares accepted for payment pursuant to the Offer will be
made by deposit of the purchase price therefor with the Depositary, which will
act as agent for the tendering stockholders whose Shares have been accepted for
payment.  Upon the deposit of funds with the Depositary for the purpose of
making payment to validly tendering stockholders, Purchaser's obligation to make
such payment shall be satisfied and such tendering stockholders must thereafter
look solely to the Depositary for payment of the amount owed to them by reason
of acceptance for payment of Shares pursuant to the Offer.

     In all cases, payment for Shares accepted for payment pursuant to the Offer
will be made only after timely receipt by the Depositary of (a) a certificate
for (or timely Book-Entry Confirmation (as defined in the Offer to Purchase)
with respect to) such Shares and, if the Separation Time (as defined in the
Offer to Purchase) occurs, certificates for (or a timely Book-Entry
Confirmation, if available, with respect to) the associated Rights (unless
Purchaser elects to make payment for such Shares pending receipt of the
certificates for, or a Book-Entry Confirmation with respect to such Rights as
described in the Offer to Purchase), (b) a Letter of Transmittal (as defined


in the Offer to Purchase), or facsimile thereof, properly completed and duly
executed, with any required signature guarantees (or, in the case of a book-
entry transfer, an Agent's Message (as defined in the Offer to Purchase) in lieu
of the Letter of Transmittal) and (c) any other documents required by the Letter
of Transmittal. Accordingly, tendering stockholders may be paid at different
times depending upon when certificates for Shares (or Rights, if applicable) or
Book-Entry Confirmation with respect to Shares (or Rights, if applicable) are
actually received by the Depositary. Under no circumstances will interest on the
purchase price of the Shares be paid by Parent or Purchaser, regardless of any
extension of the Offer or any delay in making such payment.

     Subject to the applicable rules and regulations of the Securities and
Exchange Commission and the provisions of the Merger Agreement, Purchaser
expressly reserves the right, in its sole discretion, at any time or from time
to time, and regardless of whether or not any of the conditions of the Offer
have been satisfied, to extend the period of time during which the Offer is open
by giving oral or written notice of such extension to the Depositary and by
making a public announcement thereof.  During any such extension, all Shares
previously tendered and not withdrawn will remain subject to the Offer, subject
to the right of a tendering stockholder to withdraw such stockholder's tender of
Shares.  An extension, delay, termination, waiver or amendment will be followed
as promptly as practicable by public announcement thereof to be made no later
than 9:00 a.m. Eastern time, on the next business day after the previously
scheduled Expiration Date (as defined in the Offer to Purchase).

     Subject to the applicable  rules and regulations of the Securities and
Exchange Commission, the Merger Agreement requires Purchaser to provide a
subsequent offering period lasting for at least three and not more than 20
business days if all of the conditions of the Offer are satisfied or waived but
the number of Shares tendered and not withdrawn, together with the Liles Shares,
is less than 90% of the then outstanding Shares.  Stockholders who tender Shares
during a subsequent offering period will not have the right to withdraw their
Shares during such subsequent offering period.

     Tenders of Shares pursuant to the Offer are irrevocable, except that Shares
tendered pursuant to the Offer may be withdrawn at any time prior to the
Expiration Date and, unless theretofore accepted for payment by Purchaser
pursuant to the Offer, may also be withdrawn at any time after August 1, 2000.

     For a withdrawal to be effective, a written, telegraphic, telex, or
facsimile transmission notice of withdrawal must be timely received by the
Depositary at one of its addresses set forth on the back cover of the Offer to
Purchase.  Any such notice of withdrawal must specify the name of the person
having tendered the Shares to be withdrawn, the number of Shares to be withdrawn
and the names in which the certificate(s) evidencing the Shares to be withdrawn
are registered, if different from that of the person who tendered such Shares.
If Shares have been tendered pursuant to the procedures for book-entry tender as
set forth in Section 3 of the Offer to Purchase any notice of withdrawal must
specify the names and number of the account at the Book-Entry Facility (as
defined in the Offer to Purchase) to be credited with the withdrawn Shares.  If
certificates for Shares to be withdrawn have been delivered or otherwise
identified to the Depositary, the name of the registered holder and the


serial numbers of the particular certificates evidencing the Shares to be
withdrawn must also be furnished to the Depositary as aforesaid prior to the
physical release of the certificates and the signature(s) on the notice of
withdrawal must be guaranteed by an Eligible Institution (as defined in the
Offer to Purchase), unless such Shares have been tendered for the account of any
Eligible Institution. All questions as to the form and validity (including time
of receipt) of any notice of withdrawal will be determined by Purchaser, in its
sole discretion, which determination shall be final and binding.

     None of Purchaser, Parent, the Depositary, the Information Agent (as set
forth below) or any other person will be under any duty to give notification of
any defects or irregularities in any notice of withdrawal or incur any liability
for failure to give such notification.  Withdrawals of tenders of Shares may not
be rescinded, and any Shares properly withdrawn will be deemed not to have been
validly tendered for purposes of th Offer.  However, withdrawn Shares may be
retendered by following one of the procedures described in Section 3 of the
Offer to Purchase at any time prior to the Expiration Date.

     The information required to be disclosed by paragraph (d)(1) of Rule 14d-6
of the General Rules and Regulations under the Securities Exchange Act of 1934,
as amended, is contained in the Offer to Purchase and is incorporated herein by
reference.

     The Company has provided Purchaser with the Company's stockholder list and
security position listings for the purpose of, among other things, disseminating
the Offer to stockholders. The Offer to Purchase and the related Letter of
Transmittal will be mailed to record holders of Shares and will be furnished to
brokers, banks and similar persons whose names, or the names of whose nominees,
appear on the stockholder list or, if applicable, who are listed as participants
in a clearing agency's security position listing for subsequent transmittal to
beneficial owners of Shares.

     The Offer to Purchase and the Letter of Transmittal contain important
information which should be read carefully before any decision is made with
respect to the Offer.

     Questions and requests for assistance may be directed to the Information
Agent at the address and telephone number set forth below.  Requests for
additional copies of the Offer to Purchase, the related Letter of Transmittal
and other tender offer materials may be directed to the Information Agent.  Such
additional copies will be furnished at Purchaser's expense, Purchaser will not
pay any


fees or commissions to any broker or dealer or any other person (other than the
Information Agent and the Depositary) for soliciting tenders of Shares pursuant
to the Offer.

                    The Information Agent For The Offer Is:

                                   GEORGESON
                                  SHAREHOLDER
                              COMMUNICATIONS INC.
                         17 State Street, 10/th/ Floor
                              New York, NY  10004
                          Call Toll-Free (800) 223-2064