Asked why he is so sure Llorente, who scored 15 league goals for Swansea last season, would remain at the Liberty Stadium, Clement said: "I'm confident because of the conversations I've had with Fernando".
"We have the experience of what we need to pay for players who came here and had one year of contract", Koeman told reporters.
"He has got a year to go on his deal and we'd like him to stay for this year and longer", Clement was quoted as saying by BBC Sport.
"No deal been has been done with any club", Clement said.
Sigurdsson has not played for Swansea since their first pre-season friendly at Barnet on July 12. I heard some rumours that talks had broken down but still we are in negotiations with Swansea, ' insisted Koeman, whose team open their Premier League campaign against Stoke tomorrow.
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Sigurdsson has not figured in much of Swansea's preseason programme after being left out of their tour of the United States amid speculation over his future.
'It's been decided that it's in the best interests of everyone that he doesn't play in this first game, ' Clement said.
"When I was in Southampton we lost some players, but I am mentioning the name of no club".
'We are at a critical stage of this situation and hope it's going to be resolved very quickly, ' said Clement, who confirmed Sigurdsson would not feature in his side's trip to Southampton. "Talks are ongoing and I'm speaking to our chairman and owners every day for an update but there isn't a current conclusion to it at the moment". "But what you can't do is control the decision-making of the other club".
"Clearly we have done our research once those funds become available and we will be ready to act on them".
"We've got a number of weeks to go and I don't anticipate it going to the end of the window".