Moyes acknowledged the work Rodgers has done in his first season in charge at Anfield.
"Brendan is a young manager who has come to a very big club," said Moyes. "It's going to take him time to settle and I'm sure he'll realise the magnitude of Liverpool Football Club and what is required.
"I think they have bought well. They have brought in some young players and they are trying to build for the long-term and a young team in the future. I think Brendan has done a good job."