Tillman (knee) won't play against the Heat on Sunday, Justin Turpin of WEEI.com reports.
After being acquired from the Grizzlies on Wednesday, Tillman acknowledged he has no precise timeline to resume game action while he recovers from a sore left knee. The Celtics will continue to evaluate Tillman's status on a game-by-game basis, but he'll most likely sit out the team's upcoming Tuesday/Wednesday back-to-back set with the Nets to heal up in advance of the All-Star break. Once healthy, Tillman could challenge Luke Kornet for a role as the Celtics' fourth option in the frontcourt behind Jayson Tatum, Kristaps Porzingis and Al Horford.