"Gifton is still on the transfer list after he asked to go and it's too soon to be discussing contracts," Pulis told Sky Sports.
"Gifton has been fantastic in the past month.
"Since Ade Akinbiyi joined Burnley, he has taken over the mantle of our main man up front in style."
Stoke City currently have Asaba, Greenacre, Gudmundson, Noel-Williams and Palmer as strikers at the club - with Jones and Ricketts on loan from Southampton and Leeds respectively.