Carragher said: “It would be nice to bring the title back to Anfield at least once more before we leave.
“It was the place we brought the first one to, and it would be fitting if Stevie Gerrard held it aloft there before we go.
“When I talk to fans on the street when I’m out and about, that’s the one they say they’d dearly love to see at Anfield in May.
“I don’t know about priority but we’d love to win it this season – but I’d also love to win the FA Cup, Carling Cup and European Cup as well.
“We had a good squad of players here last season and the manager’s brought in five or six more talented lads to add a bit more depth.
“That’s great news – and I’m glad none of them have been in my position!
“The board have backed him off the pitch, and now it’s down to us to back him off it.”