Clotet teamed up with Monk last season to help the Swans secure their Premier League status for another campaign.
The Spanish coach has said that he has been impressed with Monk's work so far.
"Garry Monk is living 24/7 for Swansea City football club. He is working non-stop and really putting the hours in," Clotet told Swansea's official website.
"He is throwing everything at the job and his hard work, effort and enthusiasm is rubbing off on all aspects of the club. He has raised everyone's game and is determined to keep pushing standards up everywhere.
"He wants the fans to be proud of the team and the club; he wants them to enjoy watching the team. It's very important to him."
Monk guided Swansea to 12th in the Premier League last season.