Burton hasn't allowed a run in his last 13 appearances, and he's allowed just one run in his last 20 appearances, boasting a 2.35 ERA.
"He's thrown the ball fantastic," Gardenhire said. "He does remind me an awful lot of Matt Guerrier. One of those guys who's not able to throw the ball as many innings as Matty, but the look and the feel and the confidence he has out on the mound, he reminds me a lot of the way Matty went about the game."
Burton's debut season as a Major League reliever for the Reds went well in 2007, finishing with a 2.51 ERA. He followed that with a 5-1 record and 3.22 ERA in 2008.
His tenure with the Reds ended after throwing just 3 1/3 innings in 2010 and 4 2/3 innings in 2011 because of injuries.
"We knew going in what we were doing with him, coming off an arm injury like he's had," Gardenhire said. "We said from the get-go we were going to be careful and kind of help him get through it and give him his days off as needed."