ex·pe·dite 
(ĕkspĭ-dīt′)
(ĕkspĭ-dīt′)tr.v. ex·pe·dit·ed, ex·pe·dit·ing, ex·pe·dites
To speed up the progress of or execute quickly: expedite the review of a legal case; expedite a loan application.
[Latin expedīre, expedīt-, to free from entanglements, make ready; see ped- in the Appendix of Indo-European roots.]
expe·dit′er, expe·di′tor n.