Perspire rhymes with:
aspire, expire, inspire, spire, aspire, expire, inspire, spire, admire, afire, alkire, aspire, barbed-wire, beijer, dire, dwire, eir, expire, frymire, gire, guire, gyr, hyre, inquire, inspire, ire, lyre, maguire, martyre, mcguire, mcgwire, mcquire, mire, myre, o'dwyer, quire, reacquire, rehire, retire, safire, schreyer, scire, shire, skier, smyre, spire, squire, striar, swire, tyre, wyre
Perspire sounds like:
persevere, prosper, prospera, prosperi