Rodgers has made remarkable progress with the team since taking over from club legend Kenny Dalglish in 2012, leading the Reds on an unexpected title charge this season, having finished seventh last year.
The 41-year-old has just one year left on his current deal, and Gerrard is in no doubt that owner John W Henry should look to extend that contract as soon as possible.
"He has been a revelation. He keeps tinkering and tweaking formations, making little changes to personnel and pulls it off. He is a young coach who has earned the right to become Liverpool manager and from week to week he is improving and he has been an absolute breath of fresh air to this club," Gerrard is quoted as saying by PA.
"I never judge a player, a manager or a member of coaching staff before I have actually met them face-to-face and when you see them day to day I have been absolutely blown away by the sessions, by his maturity in the job. I am learning off him every day. When you become a more experienced player you look to see how the manager does - if he does the same things.
"He has been fantastic for myself and I am sure the players will echo what I am saying. We are absolutely delighted he is here and I just hope there is a lot of movement in Boston now as we speak because they have got to get him signed up as soon as possible. When players are in this situation with a year to go you want to keep hold of them so desperately, the club react really quickly and get it sorted, and for me I think he deserves a very long contract here and I think he is perfect for this club."
Liverpool are currently second in the Premier League table, four points behind leaders Chelsea with a game in hand.