Rodgers was critical of Mourinho's allegedly defensive tactics in his post-match interviews, but the Chelsea boss has told how his former Stamford Bridge colleague has been more noble in private.
"You know pundits are pundits and I don't want to comment a lot," he told reporters. "Brendan is a manager and is somebody that I consider my friend. I met him a long time ago when he was a very young coach coaching kids.
"Of course, I know his words after the match but I also know his words today and today he told me congratulations for a great victory and a great performance. Especially because he's somebody I consider a friend and I like, I prefer to forget the words after the match and I keep the words of today.
"He's an intelligent guy, I believe that after the match he watched the match on video and I think now he understood what happened."
Chelsea's victory took them to within two points of Liverpool in the table and meant that Manchester City will deny the Reds a first championship in 24 years if they win their remaining three games.