Herobuilders.com of Oxford, Conn., is offering the "standard" doll for $39.95 and the anatomically correct "for adults only" version for an extra $10.
Both are dressed in a gym shirt and shorts with a label that reads "Tweet This."
Weiner has acknowledged exchanging messages and photos that ranged from sexually suggestive to explicit with several women online.
Congress on Monday approved a two-week leave of absence for Weiner while he seeks treatment.
Obama on Monday said he'd resign if he were in Weiner's shoes.