Rodgers worked with the Villas-Boas at Chelsea during his time there as coach.
"I think Andre needs time," he said. "He has come in on the back of a very good season at Porto and it's a new challenge.
"At the bigger clubs there is always lots of pressure to win games and every team will have their difficult moments.
"When you play the big games it is highlighted. It is a club in transition and he needs time and I am sure he will get that."