The Sun reports that the 20-year-old - coached by Tom Jones on the talent contest - will play Leigh Bowery, a role once held by Boy George himself.
He said: "Leigh Bowery is such an icon to me, so to get the chance to play him is just phenomenal. I just can’t wait!"
The musical will run at the Brixton Clubhouse between late September and December.
Sam was eliminated by the public vote in the first results show after just one performance, of Erasure hit 'A Little Respect'.