Brown, who needed just 29 seconds to dispose of Mike Pyle at UFC Fight Night 26, hopes to test St-Pierre's chin, and utilize wrestling techniques to earn the victory.
"I know where my wrestling stands," Brown told MMAjunkie.com Radio (www.mmajunkie.com/radio). "It's simply a matter of executing those abilities in the ring with 'GSP.' I can outwrestle him. I'm calling it right now.
"It sounds f---ing ridiculous, and everybody is going to laugh at me, and I know the forums, everybody's going to talk about how I'm delusional and this and that. ... I know where I'm at."
St-Pierre already has a fight coming up with Johny Hendricks, but it's anyone's guess who he'll take on after that.
Brown continues to impress, and he's hoping to get his shot at the belt in the near future.
"I don't think [St-Pierre has] ever fought anybody that can put the kind of pressure that I put on him, and I think I can stop his takedowns," Brown said. "His best chance is to get a takedown. People haven't seen my wrestling. I'm training with the best wrestlers in the world right now, and I'm getting pretty damn good at it."
Brown didn't address what his thought process would be if Hendricks beats St-Pierre. "The Immortal" seems to be focused only on a crack at St-Pierre, even though Hendricks is a world-class wrestler in his own right.
"This was the dream when I set out to start this," Brown said. "I've actually surpassed my own expectations. I've lost some fights, and a little bit of that was a mental block, thinking I couldn't be where I'm at now. It feels pretty good to prove myself wrong."