"[It''s] pretty much a done deal," Matyushenko said. "A few details have to be worked out, but I don't see no reason why it's not going to happen. 99% it's on."
If the fight happens, it will take place at UFC on Versus 2 on Aug. 1 in Salt Lake City, UT.
Jones (10-1) most recently defeated Brandon Vera via first-round TKO at UFC on Versus 1.
Matyushenko (22-4) was also victorious on that card, defeating Eliot Marshall via split decision. Since returning to the UFC, Matyushenko is 2-0. The former IFL light heavyweight champion lost a UFC 205-pound title match against Tito Ortiz at UFC 33 in September 2001.
Also rumored for the second UFC telecast on Versus is Joe Stevenson vs. Takanori Gomi.
Below is Bryant's interview with Matyushenko.