"Effectively he's a free agent, but there's also a huge cost that comes along with that, whichever club takes him," Pulis told the British media ahead of their Premier League trip to Burnley on Saturday.
"We've got our fingers in a few pies and if Jermain is one of them, we'll be pushing on that one.
"We have to improve and make the 11 better, and then that makes the club better."
West Brom winger Matt Phillips and striker Hal-Robson Kanu will miss the weekend's clash as they have failed to recover from hamstring injuries.
Pulis' side, currently eighth in the league, have lost momentum since avoiding relegation and have suffered four consecutive defeats for the first time this season.
(Reporting by Hardik Vyas in Bengaluru; Editing by Toby Chopra)
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