Lawrie hasn't played since May 31 because of a fractured left hand. The 21-year-old suffered the injury when he was hit on the hand by a fastball while playing for Triple-A Las Vegas.
The native of Langley, British Columbia, was on the verge of being called up to the Majors at the time of the mishap. The tentative timeframe for his return is around the All-Star break.
"Sunday was basically just a conditioning day," Toronto manager John Farrell said on Tuesday afternoon. "[Monday] was some ground balls, playing catch, starting to get some use of the hand in the glove, but still no swing of the bat yet."
Lawrie is hitting .354 with 15 home runs and 49 RBIs in 52 games in Triple-A.