Fitting rhymes with:
befitting, refitting, acquitting, admitting, befitting, bitting, committing, emitting, flitting, gritting, hitting, knitting, omitting, permitting, pitting, quitting, refitting, resubmitting, sitting, slitting, spitting, splitting, submitting, transmitting, unremitting, unwitting, whitting, witting
Fitting sounds like:
fading, fadness, fathoms, fattening, feeding, feedings, fetting, feuding, fidenas, fiefdoms, fifteens, fitness, fittings, footing, footings, fthenakis, futons