The 23-year-old has not played since September but is out of contract at the end of the season
Albion, who are hopeful he will sign a new deal, are in no rush to sell the former England Under-21 international for a cut-price fee.
Tottenham had four bids rejected in 2015, leading Berahino to threaten to strike, while Stoke and Crystal Palace offered around £20million in the summer
The Baggies could not get a replacement in and refused to allow Berahino to leave but Pulis expects more transfer window drama with the striker in January.
"It's happened before and it'll happen again, there will be people talking to him and telling him what he should and shouldn't be doing
It's up to him to work it out, he's big enough now to make decisions for himself," Pulis said
"It's a three party one, there were deals 18 months ago for Saido to leave and it didn't suit the club so it wasn't done
It has to be Saido, ourselves and the club who want to buy him
I am hoping he will stay and get his head down and want to stay.
"The window opens again and you don't know what's going to happen."
Berahino will not feature against Manchester United on Saturday as he regains fitness, having been ruled unfit by the club and sent to France on a training programme.
He has not played for the senior team since September 10 but is training with the squad and featured in the under-23s' 1-0 defeat to Wolves on Monday, although he is unlikely to return until 2017.
"He played the under-23s on Monday and he needs more games
We need to get him more game time," Pulis said
"He needs another couple of games before we can put him in."
The Baggies have risen to seventh in the Premier League on the back of four wins from six games
Salomon Rondon scored a hat-trick in Wednesday's 3-1 win over Swansea to take his tally to seven this season
Pulis added: "Strikers live off confidence and live off scoring goals
At the moment he's full of it
"He's been fantastic for us this year, it took him a while to settle in
But he's come back this year and his family is more settled."
Craig Dawson is available after suspension while Pulis remained tight-lipped over Jonny Evans' fitness after the defender missed Wednesday's win with a calf injury
Source : PA
Source: PA