Litsch threw 53 pitches in 3 2/3 scoreless innings for Double-A New Hampshire on Thursday. He went on the disabled list on May 20 with an impingement in his right shoulder.
"We're looking at a minimum of two more [starts]," Blue Jays manager John Farrell said. "Last time out was 53 pitches. Ideally, we'd get him 85-90 pitches before we activate him and get him back here, considering the bullpen and the need to have the ability built up enough for him to work deeper in the game."
Litsch was 4-3 with a 4.66 ERA for Toronto and hasn't pitched more than 6 1/3 innings in a game this season.