Tillman won't start Sunday's game against the Bucks, Sean Grande of NBC Sports Boston reports.
Tillman delivered eight points (3-4 FG, 2-3 3Pt), one rebound and one assist across 15 minutes in Thursday's 122-102 win at Washington.
Brad Stevens said Tillman had a knee scope during the offseason, but he will be a full go for training camp, Jared Weiss reports.
Tillman agreed on a two-year deal to return with the Celtics on Tuesday, Adrian Wojnarowski of ESPN reports.
Tillman closed with three points (1-1 FG, 1-1 3Pt), four rebounds and two blocks in 11 minutes during Wednesday's 106-99 win over Dallas in Game 3 of the NBA Finals.
Tillman (personal) is available for Thursday's Game 2 against the Pacers, Justin Turpin of WEEI.com reports.
Tillman (personal) is questionable for Game 1 of the Eastern Conference Finals against the Pacers on Thursday, Taylor Snow of the Celtics' official site reports.
Tillman (personal) has been ruled out for Game 1 of the Eastern Conference Finals against the Pacers on Tuesday.
Tillman is questionable for Tuesday's Game 1 against the Pacers due to personal reasons, Taylor Snow of the Celtics' official site reports.
Tillman is not in the starting lineup for Thursday's game against the Knicks.