Pulis revealed on Friday that Blackburn caretaker manager Eric Black had enquired about the 26-year-old but he admitted that he was unsure whether any deal would be completed.
"It would be a good one for Cameron. He is the kind of player that needs game time," he said.
"Eric rang up to enquire about Cameron. It would be a three-month loan with a recall available after 28 days.
"But it's a bit awkward as Rovers don't have a manager at the moment."
Jerome has made just three substitute appearances for Stoke this season.