Rasmus has been out since Aug. 23 with a jammed right wrist. He suffered the injury while crashing into the wall in center field during a game against the Royals.
The 25-year-old began hitting off a tee earlier in the week, but Thursday marked his first time with live pitching. That activity will continue for the next two to three days before he likely joins one of Toronto's Minor League teams in the playoffs for a brief rehab stint.
"Any time we've got a guy that is transitioning back to on-field activity, we've got to go through some steps," Blue Jays manager John Farrell said. "To get him some at-bats in a rehab setting would be ideal. The fact is he has progressed to this point, so we're moving in the right direction."
The stint in the Minors wouldn't last long. It would expected to just be for two games to get Rasmus back into the flow of stepping into the batter's box against opposing pitchers.
"The way he is feeling physically in the wrist, he feels like the strength is there," Farrell said. "That's the normal progression I think at that point.
"Whether it's a couple of games, just to see some live pitching again before getting back into the lineup here, would be very helpful for him."
Rasmus is hitting .216 with three home runs and 12 RBIs in 23 games for the Blue Jays this season.