The 21-year-old is currently the club’s top scorer with 14 goals so far this season while his performances has caught the eye of a number of Premier League sides.
West Brom chairman Jeremy Peace has ruled out the sale of the English striker on multiple occasions, but Pulis admitted his stay is not yet confirmed.
He said: “We would love to keep him, but you never know what is around the corner.
“If the squad wasn’t strong enough, it would be very difficult to say yes but you still might take a chance.
“You have to make sure you are strong in your convictions.
“The most important thing is to believe if he was going to stay he was going to do it for you or if someone had come in and got into the kid and it affected the kid that much, you have to look at it with an open view.”
Berahino rose through the ranks at the club and has now become a regular first team player, making 22 league appearances so far this season.
He could consider a move given that his team is currently not doing too well in the league, sitting just five points clear of Leicester City in last place.
Apart from the Reds, Tottenham Hotspur are also linked with a move to sign the young striker as Mauricio Pochettino looks to make a number of changes to his squad.