Here's what rhymes with unimpededness.
Words that almost rhyme with unimpededness
deaconess ingeniousness peacefulness heedlessness treasonous dreaminess speciousness needlessness steaminess feebleness edematous unevenness pediments speechlessness creaminess grievousness recentness ceaselessness gleefulness vehemence sleeplessness deceitfulness facetiousness cenotaphs egregiousness covetousness