The former Premier League striker feels a move would hinder the striker's development.
The Baggies forward is the Premier League's top-scoring Englishman and has duly been rewarded with a call-up to the senior England squad.
"There's a lot of speculation about his future but I think it's vitally important Saido Berahino stays at West Bromwich Albion until at least the end of the season," Collymore wrote in his Bleacher Report column.
"January would be too soon for a move. He needs to get to 15 goals this season and prove himself as the genuine article.
"Berahino needs to show consistency and continue to develop. I'd even suggest he stays put until the summer of Euro 2016, by which time he could be in the England reckoning and ready for a move."
Should Berahino stay at West Brom for the season, the January options of both Liverpool and Tottenham would be significantly reduced, as they both need a clinical goalscorer - and Berahino is just that.