"I don't expect he'll be ready," manager John Gibbons told Sportsnet's Arden Zwelling. "But he's moving in the right direction."
The injury has kept him out of action through the Blue Jays' nine Grapefruit League contests.
Tulowitzki's tenure with the Blue Jays has been marred by various injuries, culminating in him appearing in only 66 games in 2017. He didn't make much impact with the bat when he did get into the lineup, hitting .249/.300/.378 with seven home runs and 26 RBIs.