Following Brock Lesnar’s recent loss to Cain Velasquez there was much talk of a third fight between the displaced champion and his rival Frank Mir.

According to Frank Mir, who won their first encounter by submission but was brutally beaten in the rematch last year, that’s not the fight he wants at this moment in time though.

“(A fight against Brock Lesnar) Honestly right now, probably no,” Mir tells “Just because the Carwin fight, he didn’t look all that spectacular. I think a lot of people might have thought that he lost that fight. And then the Velasquez fight obviously, Velasquez made him basically shout ‘Stop, Enough, Enough’ before he tapped due to strikes and that looked really bad.”

The way Mir sees it the fight should wait until Lesnar gets back on track.

“Right now I’m coming a win off of Mirko (Cro Cop), I would maybe like to see me get another win and he himself redeem himself, so that way it’s more relevant to the division. Not just having the third fight for the sake of having the third fight. But having it to where it actually has some substance so that whoever wins will position themselves for a title shot. I think it has a lot more meaning that way.”

So, with Lesnar not in his sights, who is?  Roy Nelson seems like he would make for a good opponent, but Mir has other plans.

“Roy Nelson is coming off a loss right now, but Brendan Schaub looked very good against Gabriel Gonzaga. That would be a fight, as far as trying to move forward to solidify myself for a title shot.”

There’s certainly some momentum behind a fight with the TUF 10 finalist who’s currently on a three fight winning streak given that after his win over Gonzaga, Schaub said he’d like to face Mir, stating that, “I think I would give him a lot of problems.

Of course it would be remiss of me not to point out the holes in Mir’s thinking.  Though technically Schaub’s winning streak makes him seem like the best choice according to Mir, the reality is that there would be no quicker route to the title for him than to defeat Lesnar.

Also, though he’s overlooking Nelson they actually both have a 2-1 record in the past year, and let’s not forget that ‘Big Country’ KO’d Schaub in December of last year.

Still, there now seems like every chance that Frank Mir Vs Brendan Schaub and Brock Lesnar Vs Roy Nelson could be the next big match-ups in the heavyweight division in 2011, and if that is the case then it would be reasonable to assume that the winners would then face each other to decide the next title contender to face the winner of Cain Velasquez Vs Junior Dos Santos.