According to Tatame.com:
UFC bantamweights Renan Barão and Demetrious Johnson are expected to meet at TUF 13 Finale, on June 4th, in Las Vegas, Nevada. According to sources close to the bout, the fighters agreed, but the contracts aren’t signed yet.
Demetrious “Mighty Mouse” Johnson (8-1)
Win Norifumi Yamamoto – Decision (Unanimous) UFC 126
Win Damacio Page – Submission (Guillotine Choke) WEC 52
Win Nick Pace – Decision (Unanimous) WEC 51
Renan “Barao” do Nascimento Mota Pegado (25-1)
Win Chris Cariaso – Submission (Rear-Naked Choke) WEC 53
Win Anthony Leone – Submission (Armbar) WEC 49
Win Sergio Silva Rodrigues – Decision (Unanimous) Jungle Fight 17
The Ultimate Fighter 13 finale coverage
Jun 4th, live on Spike TV from Las Vegas, Nevada
– Clay Guida vs. Anthony Pettis
– Finalist No. 1 vs. finalist No. 2
– Jonathan Brookins vs. Jeremy Stephens
– Demetrious Johnson vs. Renan Barao
– Josh Grispi vs. George Roop
– Tim Credeur vs. Ed Herman
– Scott Jorgensen vs. Ken Stone