The club's coach Mike Marsh revealed this week that the England skipper is "likely" to require surgery at some point this summer.
"There's nothing in that at all, really," Sky Sports News quotes Rodgers as saying. "You'll have noticed over the last year or so, whether he's been playing for Liverpool or England, he's had some taping and strapping on his shoulder, but there is no immediate surgery planned.
"We're just going to see how it goes between now and the end of the season. He's dealt well with it and performed remarkably well, so there is no decision on it at all."