Boucher suffered the injury early in the fourth quarter on Wednesday when Brooklyn forward Timothe Luwawu-Cabarrot landed on Boucher's foot while the two were competing for a rebound under the Raptors' net. Boucher immediately fell to the floor in pain and had to be helped up before he hopped gingerly to the locker room.
The team said he'll sit out until the Raptors depart for their upcoming west coast road trip, April 29 to May 4, and his condition will be updated as appropriate.
The Montreal native is averaging career highs of 13.6 points, 6.7 rebounds, 1.9 blocks (fifth in the NBA) and 24.0 minutes in 59 games this season.
He is shooting 51.9 per cent from the field, including 38.9 per cent from three-point range.
Toronto (25-34) is 12th in a tight Eastern Conference, just half a game back of Washington for 10th place and a spot in the play-in tournament.
The Raptors visit New York on Saturday to face the Knicks. They host Cleveland and Brooklyn before heading west.