The Liverpool legend could have been a part of the backroom staff...
Indeed, Carragher met with the former Liverpool boss about becoming a first-team coach, although the role eventually went to Mike Marsh.
He is quoted as saying by the Mirror: "I thought at that stage of my career, I wasn't playing every week under Kenny Dalglish before he was sacked, so I thought I'd play some games and maybe learn the coaching side of it.
"I then met him face-to-face in Liverpool before we started pre-season training and he changed his mind and brought Mike Marsh in from the academy. Maybe if I had landed the role I would still be at the club now or sacked with Brendan. That was the closest I've been."
With hindsight, of course, that shows yet another big decision Rodgers got wrong at Anfield. Certainly, there would be no guarantee of success with Carragher in place instead of Marsh - he is inexperienced when it comes to coaching and Gary Neville proves being a good pundit does not necessarily equate to being a good coach.
But how popular would a move for Carragher have been with the fans? And how much better would the Reds have defended with the Liverpool legend on the staff?
It smacks of yet another 'I'll do things my way' moment from Rodgers. Although at least, this way, Carragher didn't end up sacked alongside the former Liverpool boss - and could yet end up a successful coach at Anfield.