Bomer recently signed up to play the brother of Criss's character Blaine on the show.
Reports have now claimed that the pair will perform a mash-up of Duran Duran songs, TV Line says.
Details of which tracks will be covered have not yet been released, but the duet is expected to include two or three songs from Duran Duran's back catalogue.
A source claimed that Criss is a big fan of the band and "has long hungered for some of these songs", promising that the performance will be "very sexy and fun and big".
Jeff Goldblum, Brian Stokes Mitchell, Ricky Martin and Gloria Estefan are among the other stars lined up for guest roles in future instalments of Glee.
The show airs on Tuesdays at 8/7c on Fox, and Bomer is due to appear in an episode in April.
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Watch a promo for the next episode of Glee below: