Aardsma, who had Tommy John surgery on his right elbow in 2011, is scheduled to join Triple-A New Orleans.
A few years ago, Aardsma closed in Seattle. From 2009-10, he combined for 69 saves, with 38 coming in '09.
Marlins manager Mike Redmond was playing for the Twins when Aardsma was enjoying his best years in Seattle.
"He's a guy who has been around," Redmond said. "He's a guy who has logged some innings. I know I've faced him a bunch of times."
A first-round pick of the Giants in 2003, the right-hander made his MLB debut in '04. He has spent parts of seven seasons in the big leagues, where he has logged 266 2/3 career innings.
In 2012, he made one appearance with the Yankees. In Spring Training with New York, Aardsma threw in eight Grapefruilt League games, posting a 3.52 ERA in 7 2/3 innings.
"He's a guy who has been around," Redmond said. "He's got experience. We'll see what he does. It's hard to say. Some guys come back from that. Some guys don't."
Joe Frisaro is a reporter for MLB.com. He writes a blog, called The Fish Pond. Follow him on Twitter