Sinking rhymes with:
blinking, drinking, linking, plinking, rethinking, shrinking, stinking, thinking, unthinking, winking
Sinking sounds like:
samsung, samsung's, sansing, schmiesing, schmoozing, senescence, sensenig, sensing, sequencing, shenanigans, simkins, singing, smacking, smashing, smoking, smoking's, smoshing, smugness, snacking, snagging, snaking, sneaking, sneezing, snoozing, snugging, squeamishness, ssangyong, sunshine's, swensen's, swinging