The promotion currently has two events slated for May. UFC on FX 8: Belfort vs. Rockhold is scheduled for May 18 in Brazil, while UFC 160: Velasquez vs. Silva II is set for just one week later in Las Vegas.
Barry (8-4) enters the bout following a second-round knockout victory over former Strikeforce fighter Shane Del Rosario at the TUF 16 Finale in December.
Barry has had a sporadic UFC tenure, bouncing back and forth between wins and losses. A win over Jordan would mark the first time in his four-plus years and 10 bouts in the Octagon that he put together back-to-back victories.
Jordan (14-4), like Del Rosario, was a Strikeforce import, when the promotion shuttered its heavyweight division. He is currently 2-1 in the Octagon, coming off of a TKO stoppage of Mike Russow at UFC on Fox 6 earlier this year in Chicago.