Paddack (forearm) threw a live batting practice session Monday, Do-Hyoung Park of MLB.com reports.
Paddack is slated to throw again Thursday before the Twins make a decision on whether to activate him from the 15-day injured list. He's been sidelined since late July with a right forearm strain and would surely return as a reliever, if he does make it back later this week or during the postseason.