Aardsma, with the Yankees on Monday for their series opener against the Twins, is expected to be activated from the disabled list prior to Tuesday's contest.
The 30-year-old Aardsma hasn't pitched in the Major Leagues since 2010 as a member of the Seattle Mariners. He underwent Tommy John surgery on his right elbow in July 2011 and was signed to a one-year, $500,000 contract by the Yankees in February.
New York also owns a club option for 2013.
"When I first got hurt in 2010, it was devastating," Aardsma said. "I didn't know how to take it. It was the first time I'd really been hurt. Trying to come back, I was having little setbacks, other injuries happen.
"It's an amazing feeling to be back in here and knowing that very soon I'll be back on a mound again."
Aardsma recorded 31 saves for the Mariners in 2010, a year after he notched 38 while posting a 2.52 ERA. He owns a 4.20 career ERA in six seasons spent with the Giants, Cubs, White Sox, Red Sox and Mariners.
Aardsma appeared in rehab games in the Rookie League as well as for Class A Advanced Tampa and short-season Class A Staten Island, going 0-1 with a 2.70 ERA over 6 2/3 innings (five games).
"I haven't faced a big league hitter in two years," Aardsma said. "But It's a matter of, I know my stuff's been good [in rehab games]. It's obviously not the same caliber. Now it's a matter of just coming out there and getting comfortable and facing hitters.
"Am I expecting to go out there and be put in the toughest situation ever? I don't think they would do that, but if they do, I'll be ready."