"It was a knock," Guardiola said. "A strong one but it's not fractured."
Savinho was in tears as he was carried off the field on a stretcher during City's 2-1 loss to Tottenham in the League Cup on Wednesday.
Manuel Akanji was hurt in the warm-up for that game, having been struggling because of a knee issue.
Rodri, Kevin De Bruyne, Jack Grealish, Kyle Walker and Oscar Bobb were already on the injury list and won't play against Bournemouth on Saturday.Â
Jeremy Doku has also been sidelined, while Guardiola said Ruben Dias has been playing through a problem.
After Wednesday's defeat, Guardiola said it was the worst injury situation he has experienced since arriving at City in 2016.
"We are not the only club in the world that has injuries," Guardiola said. "We have a lot in certain departments and certain positions, but I said many times to the team, 'Guys, try not to feel sorry for ourselves.' The challenge is there."
The injury situation won't force Guardiola into the transfer market in the new year.
"Maybe in January we have all the squad fit, except Rodri and maybe Oscar," he said. "Maybe we are all together, the squad is enough, it's complete, it's nice, it's top and everyone is completely focused and fit."
