The Sunderland striker will be available, reportedly on a free transfer, after the Black Cats were relegated from the Premier League last weekend.
Pulis has gone through the majority of the season with just Hal Robson-Kanu and Salomon Rondon as available strikers with Saido Berahino barely playing, due to a two-month ban for failing an out-of-competition drugs test, before he joined Stoke in January.
Defoe, 34, has scored 14 of Sunderland's 26 goals in the Premier League this season and boss David Moyes has confirmed the England international has an escape clause in his contract, with West Brom considering a move.