Manchester City have confirmed that Rodri is set for a period on the sidelines after undergoing back surgery.
The midfielder underwent the procedure on Monday after "feeling discomfort for some time."
City are hopeful the 30-year-old, who has been heavily linked with a summer move to Real Madrid, will only require a "short" recovery period.
A statement issued by City on Tuesday read: "Manchester City can confirm Rodri has undergone successful minor back surgery.
"The midfielder had been feeling discomfort for some time but has now undergone a procedure to address the issue and will now begin a short period of rehabilitation."
Sources have told ESPN that City have not given up hope of agreeing a new contract with Rodri, who has one year remaining on his deal.