There is an increasing likelihood of the Scot returning to the club in a possible ambassadorial role.
Reds boss Rodgers confirmed: "It's something I want to do for next season across the club, which is get former players involved. With the likes of Carra [Jamie Carragher] moving on in the summer, I want to look around and see people with a link to the past. We will be looking to do that in a number of areas, whether that be through coaching or ambassadorial roles. There's nothing concrete [on Dalglish] at the moment."