ex·pe·dite 
/ˈɛkspəˌdaɪt/ verb
ex·pe·dites; ex·pe·dit·ed; ex·pe·dit·ing /ˈɛkspəˌdaɪt/ verb [+ obj] formal : to cause (something) to happen faster
▪ They've asked the judge to expedite the lawsuits. ▪ We'll do what we can to expedite the processing of your insurance claim. — compare expeditious
▪ They've asked the judge to expedite the lawsuits. ▪ We'll do what we can to expedite the processing of your insurance claim. — compare expeditious
