Suarez captained the side in Sunday's 5-0 win at Tottenham in the absence of the injured Steven Gerrard and Rodgers believes that is a reflection of his standing within the squad.
"I think it is maturity. He has really felt the love of the supporters because after the 10-game ban he found it difficult to cope," he said.
"He is a man who plays football for the love of the game and we see that every week.
"He is maturing, accepting the role and responsibility I've given him here.
"He is not only a top player, he is one of the pillars of the group.
"We are a young side with an average age (that is) probably the lowest for a number of years and he has taken on that mantle in order to help and support those young players while having that x-factor to his game.
"I just think he is in a good place, his family is in a good place and long may it continue."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball