Berahino has been linked with a move away from The Hawthorns for much of the season and is expected to leave following their final game of the campaign against Arsenal on Sunday.
The Baggies are 13th in the Premier League table with one match remaining and Pulis said: “If he plays well at this club then a top four club might come in and West Brom will not stop him as long as the deal is right.
“We hope and pray he stays with us because he has a lot more to come and we don’t think he is at the end of his development.
“If a top four club comes in and the clubs agree a fee and it’s all done, everyone can shake hands and say what a great job he has done for the club.
“Not only has he been here since he was a young lad, and we have looked after him, but the club have made money on him and we have to reinvest in other people – that’s a fact of life.
“Saido has been in the shop window for the last year. There’s no problem with that, the most important thing is Saido keeps that to one side and concentrates on his football.
“That’s why people are talking about him, because he has done the business on the pitch.”