Expedite, 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. To expedite your glorious march. Milton.
2. To despatch; to send forth; to issue officially. Such charters be expedited of course. Bacon.
1 other Webster entry under this spelling
Expedite, a.
1. Free of impediment; unimpeded. To make the way plain and expedite. Hooker.
2. Expeditious; quick; speedily; prompt. Nimble and expedite . . . in its operation. Tollotson. Speech is a very short and expedite way of conveying their thoughts. Locke.
Shades of meaning
Fernald has no entry of its own for expedite; he lists it under quicken.
Where he writes about it:
To facilitate is to quicken by making easy; to expedite is to quicken by removing hindrances. — from quicken
A good general will improve roads to facilitate the movements of troops, hasten supplies and perfect discipline to promote the general efficiency of the force, despatch details of business, expedite all preparations, in order to accelerate the advance and victory of his army. — from quicken