The 55-year-old quit his position as Liverpool manager at the end of the 2023-24 season and has since taken the position of head of global soccer at Red Bull.
Klopp isn’t understood to be interested in making a return to management any time soon, but that hasn’t stopped Carvalho from making some big promises.
Speaking with SIC Noticias, Carvalho spoke about his ambitious plans to bring the Champions League back to the Estadio da Luz.
He said: "With me, Bruno Lage won't stay beyond his contract (which ends at the end of the season). I need a coach of the highest level, who has already won the Champions League and who wants to win a Champions League with Benfica.
“There's only one name that comes to mind: Jurgen Klopp. He even said that Benfica is a great club that he would like to coach one day. Someone who says this has something more than others to be at the club."