The Collaborative International Dictionary of English v.0.48:

Expedite \Ex"pe*dite\, a. [L. expeditus, p. p. of expedire to
   free one caught by the foot, to extricate, set free, bring
   forward, make ready; ex out + pes, prdis, t. See Foot.]
   1. Free of impediment; unimpeded.
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            To make the way plain and expedite.   --Hooker.
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   2. Expeditious; quick; speedily; prompt.
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            Nimble and expedite . . . in its operation.
                                                  --Tollotson.
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            Speech is a very short and expedite way of conveying
            their thoughts.                       --Locke.
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The Collaborative International Dictionary of English v.0.48:

Expedite \Ex"pe*dite\, v. t. [imp. & p. p. Expedited; p. pr. &
   vb. n. Expediting.]
   1. To relieve of impediments; to facilitate; to accelerate
      the process or progress of; to hasten; to quicken; as, to
      expedite the growth of plants.
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            To expedite your glorious march.      --Milton.
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   2. To despatch; to send forth; to issue officially.
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            Such charters be expedited of course. --Bacon.
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WordNet (r) 3.0 (2006):

expedite
    v 1: speed up the progress of; facilitate; "This should expedite
         the process" [syn: expedite, hasten]
    2: process fast and efficiently; "I will try to expedite the
       matter"

Moby Thesaurus II by Grady Ward, 1.0:

96 Moby Thesaurus words for "expedite":
   accelerate, advance, advantage, aid, air-express, airfreight,
   airmail, boost, bundle, bustle, clear the way, conduce to, consign,
   contribute to, crowd, dispatch, drive on, drop a letter, ease,
   embark, enable, encourage, explain, export, express, facilitate,
   favor, forward, freight, further, grease, grease the ways,
   grease the wheels, haste, hasten, hasten on, help along, hie on,
   hurry, hurry along, hurry on, hurry up, hustle, hustle up,
   lend wings to, loose, lubricate, mail, make clear, make for,
   make way for, oil, open the way, open up, pave the way, post,
   precipitate, prepare the way, press, promote, push, push forward,
   push on, push through, put forward, quicken, railroad through,
   remit, remove friction, run interference for, rush, rush along,
   send, send away, send forth, send off, set forward, ship, simplify,
   smooth, smooth the way, soap the ways, speed, speed along,
   speed up, spur, stampede, step up, transmit, unbar, unblock,
   unclog, unjam, urge, whip, whip along