Carragher is retiring at the end of the season to make the move to Sky Sports as part of next season's Premier League coverage and Rodgers reckons the viewers will be the winners.
"There will be many things talked about him this week but his sheer professionalism is incredible.
"He's never had a lazy day since the day I've walked in and he probably hasn't had a lazy day since he walked into Liverpool.
"This is a phenomenon. There's a real sadness for me as he epitomises everything that I want as we are trying to build a team of winners.
"When the international break comes and we are left with two or three players it would be an easy opportunity for him to have an easy morning and relax, but he is haring about, pressing, working, organising and helping support the young players.
"He's never wanted an easy day and he's an absolute credit to his football club, his family and a sheer joy to work with."