As reported by The Glasgow Evening Times, Boyata, who is 26 years of age and operates as a defender, has been ruled for up to three months with a medial ligament injury.
Rodgers has options in Erik Sviatchenko and Kristoffer Ajer, but the former Liverpool manager has admitted that he could bring in a new centre-back.
Sviatchenko, who is 25 years of age and operates as a centre-back, had fitness issues last season, while there are fitness concerns over the 19-year-old defender Ajer as well.
"It will all be down to fitness in the moment,” Rodgers told The Glasgow Evening Times. “I am open.
“I like to have multi-functional players who can operate in different positions. But if the need is to look at someone, or bring them in, then I will look at that.
“We’ll just assess it, we’ll look at it. We have some very good centre-halves at the club, we just need to have a wee look at that to see if we need anyone else to come in.”
Celtic have the strongest team in Scotland, and even with their current squad, they should be able to win the Scottish Premiership title next season.
Sviatchenko and Ajer are good options, but with the Champions League qualifiers coming up, the Hoops cannot take any unnecessary risk.
Celtic have made two signings in the summer transfer window so far. The Glasgow giants recruited 29-year-old Republic of Ireland international winger Jonny Hayes from Scottish Premiership rivals Aberdeen.
The Hoops have also secured the services of Kundai Benyu following the 19-year-old midfielder’s departure from Ipswich Town at the end of last season.