Chelsea have a long-standing interest in the 32-year-old, who scored 15 goals to help Swansea avoid Premier League relegation last season.
Llorente, who joined the Swans from Sevilla in 2016, is currently sidelined with a fractured arm.
"He has got a year to go on his deal and we'd like him to stay for this year and longer," said Clement.
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