Mourinho gave Rodgers his coaching chance at Chelsea.
"I think Brendan, he can't be champion with that team," he told Sky Sports.
"He can't make miracles with that team. It's not an easy job. Liverpool expectations are very high.
"The reality is that Liverpool, at this moment, they're not the best team in the Premiership. Not even close. The squad is not at that point.
"Other squads are investing much more than Liverpool are doing.
"So I hope he has time to build because if you don't have the top players in your hands, it takes more time to build. I think he deserves that and I think, with time, he can do the job for them."