The 27-year-old has found first-team chances hard to come by this season and it is understood that a host of Championship clubs are monitoring proceedings.
"Kenwyne will not be going anywhere. I haven't seen any other Premier League clubs selling players. There's been lots of enquiries about lots of players, but at the moment we want to look after ourselves," he told The Sentinel.
Stoke currently sit 13th in the Premier League table.