Fuller is out of contract with the Potters this summer and no new deal has been agreed as yet.
The 32-year-old is well down the pecking order in Pulis' plans and has made only one Premier League start this term.
A number of clubs are thought to be monitoring Fuller's situation at the Britannia Stadium and are ready to snap him up on a free transfer.
Pulis admits whatever happens with Fuller's future he will go down as one of the best players to represent the Potters.
"Whatever happens with Ric, he has been one of the best players to have ever represented this club," Pulis is quoted as saying in the Daily Mirror.