The Spaniard struggled in the early part of the campaign for the Reds making several high-profile errors, which led to reports suggesting that he would be replaced at Anfield.
Rodgers told reporters: "I am counting on him for next season, yes. He's never been unsettled and our relationship is very strong.
"Pepe and I speak a lot. He's a good man and I've real respect for him."
The 30-year-old has made 32 appearances for Rodgers's side this season.