Simunovic tweaked his hamstring and did not join up with the Bosnia and Herzegovina national football team during the international break.
Rodgers, though, has said that the injury to the 23-year-old central defender is not serious, and that he will be play against Bayern.
The Scottish Premiership giants will take on the German club away from home at the Allianz Arena in Champions League Group B next Wednesday evening.
“Jozo is the same,” Rodgers told The Glasgow Evening Times. “It wasn’t a tear he had.
“It was just a slight aggravation and he needed to strengthen it and stay here. They have come together and he’ll be fine for Munich.”
Simunovic is a key player in the current Celtic team and is a regular for the Glasgow giants.
The 23-year-old’s availability will be important for the Glasgow giants against Bayern.
Although the Bavarian giants will head into the Champions League encounter as favourites, Celtic will fancy their chances of at least picking up a point given the start the German club have made to the season.
Simunovic has been on the books of Celtic since the summer of 2015 when he joined from Dinamo Zagreb for a transfer fee reported by The Daily Mail to be worth £3 million.