Outsource rhymes with:
ensource, sorce, source, borse, bourse, coarse, corse, course, divorce, endorse, enforce, ensource, force, forse, gift-horse, hoarse, horse, laforce, midcourse, morse, morss, norse, nourse, perforce, reinforce, remorse, sorce, source, vorce
Outsource sounds like:
odekirk, odgers, outcries, outgrows, outscores, outsources