Here's what rhymes with imperturbable.
double bubble publ dirigible attachable addable trouble rubble stubble playable beatable tamable damnable uncharitable redouble unplayable acquirable imperishable friable indissoluble unbridgeable unnameable vocable containable ignitable flyable dividable unloveable translatable nonviable filtrable unlikable compoundable vincible conformable exploitable untranslatable indemonstrable unarguable transmutable Words that almost rhyme with imperturbable
puddle tuple couple subtle shuttle muddle suppl supple huddle cuddle cudgel rappel fuddle rebuttal scuttle decouple uncouple befuddle thermocouple oversubtle tunnel puzzle bustle tumble buckle chuckle jumble tional juggle tussle bumble pummel duckbill tamale tousle tubful muscle humble bundle jungle funnel muzzle shovel ductile rumble rustle shuffle stumble ductal hovel hustle knuckle muffle mussel ruffle subtile fumble mumble pustule suckle caecal runnel truffle bungle guzzle nuzzle truckle gunnel unbuckle gumball jugful tumbrel struggle fungal autumnal crumble bestowal grumble peduncle scuffle smuggle phrasal snaffle snuggle trundle lungful rumple snuffle mugful kerfuffle pinocle frontal triumphal colourful crustal nuptial lustful suboptimal trustful crumple reshuffle duodecimal nonvocal cupsful subcortical conformal carbuncle prenuptial prefrontal antifungal distrustful honeysuckle granduncle heptagonal disgruntle mistrustful