The 23-year-old rose to prominence during the 2014-15 campaign when he topped West Brom’s scoring charts, prompting interest and a number of bids from Tottenham Hotspur last summer.
However, West Brom were intent on holding on to him and ultimately fended off Spurs’ interest, leaving the forward in a tricky spot, which no doubt played a part in his lacklustre campaign last term.
Now, interest in his services has mainly come from Stoke, and Pulis admitted he expects the forward to move on before the transfer deadline, although he added that his side are not very close to securing a replacement.
"It's not quite done, that deal. The chances are that it will get done. But we'll have to wait and see. As much as I love him and our fans love him, if his heart and soul's not with us, then we have to exchange goodbyes and look to get better,” Pulis told Sky Sports.
"[But] we can't sell Saido unless we get someone in. So if we get someone in, fine, but if we can't then we'll be committing suicide if we let Saido go."
Puis went on to add that West Brom aren’t very close to adding a new forward, suggesting that the Berahino transfer saga is likely to go on for another couple of weeks leading up to the transfer deadline.
West Brom started their season with a 1-0 win at Crystal Palace, while Stoke came from behind to secure a 1-1 draw against recently-promoted Middlesbrough at the Riverside Stadium.