The Russian forward worked out Monday. He gives himself a 50-50 chance of playing Tuesday night in Game 2 of Utah's playoff series against the Los Angeles Lakers.
Kirilenko hasn't played a full game since getting hurt March 12, and he aggravated the injury April 15. If he sits out Tuesday, he's almost certain he can return for Game 3 in Salt Lake City on Saturday.
Utah coach Jerry Sloan says the Jazz won't decide whether Kirilenko can play in Game 2 until after Tuesday's pregame shootaround.
The Lakers won 104-99 in Game 1 on Sunday.