Reports suggested Gerrard would undergo surgery following the end of the season so as to have recovered and be fit in time for this summer’s pre-season campaign.
This was confirmed by first-team coach Mike Marsh in an interview on Wednesday.
However, Rodgers says Gerrard and the club have no immediate plans to put the midfielder through surgery at the moment.
“There’s nothing in that at all, really. 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.”
Meanwhile Liverpool this week announced a testimonial match in the summer to celebrate Gerrard’s service to the club. The game will be against Olympiakos at Anfield in August.