Pulis seems pretty resigned to losing the forward eventually.
Last season saw the 21-year-old have his best season yet scoring 20 goals in all competitions - 14 of them coming in the Premier League.
During last season there was speculation that one of the clubs competing for the European places would come in with an offer for the forward, and Pulis admits it could be hard for the Baggies to keep hold of a player who seems to be shining, and has his best years ahead of him.
He's quoted in the Birmingham Mail, saying: “He’s a good player and we are desperate to keep him.
“He’s got a great talent and everybody hopes he fulfils it.
"That’s the way the world is but what he has got to do is keep working as hard as hard as he has been doing, keep his head down and keep himself out of the papers for the wrong reasons and keep doing the right things.
“And once we get going and if he scores a lot of goals for us then I’m sure it will be very difficult for the football club to keep him.”
It's not great reading for West Brom fans as they won't want to see one of their most promising players depart the club any time soon, but there is an element of realism in the comments from Pulis.
The reality is that one of the clubs challenging towards the top end of the table are likely to come in with a bid for the forward in the near future, offer him a more lucrative contract, and the club will probably have to sell.
He is still their player, though and Pulis will no doubt try and get the best out of Berahino this season as he looks to consolidate the side's place in the Premier League, and make their season relatively worry free when it comes to relegation fears.
It will be interesting to see how Berahino performs this season after impressing so much during the previous campaign. There is a lot more expectation on the shoulders of the 21-year-old, and it will be interesting to see if he can deliver.