Steele (elbow) threw a bullpen session Wednesday, Meghan Montemurro of the Chicago Tribune reports.
This marks the first time Steele has thrown off a mound since he landed on the injured list last Wednesday, and he's slated to throw another bullpen session over the weekend. Assuming everything goes smoothly, the 29-year-old lefty could be cleared to face live hitters sometime next week and appears to have a good chance to pitch again before the end of the season.