Iceland playmaker Sigurdsson and Spain striker Llorente are expected to be in big demand after playing prominent roles in Swansea’s successful battle against relegation.
Nine-goal Sigurdsson is top of the Premier League assists charts with 13, while no one has scored more headers in the division than 14-goal Llorente.
“You always want to keep your best players and they’ve been excellent all season,” Clement said of Sigurdsson and Llorente on Sky Sports.
“We’re going to have those discussions this weekend and in the early days of next week to decide how we move forward – myself, the chairman Huw Jenkins and our two main owners, Steve Kaplan and Jason Levien.
“But hopefully they have enjoyed being part of what we’ve done in the second half of the season. Hopefully they realise that we’re a good club, they’ve got good team-mates and they really want to stay here as well. I hope they do.”
Everton are known to be in the hunt for Sigurdsson, while Llorente has been on the radar of Premier League champions Chelsea this season.