Newcastle, Stoke and Tottenham are said to still be 'very interested' in the 22-year-old.
But the site have also outlined three reasons why West Brom do not want to sell the much-sought youngster.
Indeed, stated on their Transfer Centre at 8:15am, Sky Sports report the three reasons as:
"1) Unwilling to sell to a relegation rival
"2) West Brom feel they will receive the same amount or even more money for the player in the summer
"3) Tony Pulis has no chance of getting a replacement in at such late notice."
No.1 will clearly affect Newcastle. The Magpies are only a few points behind West Brom and an in-form Berahino could easily make up that difference.
Numbers 2 and 3 obviously affect Newcastle, Stoke and Tottenham. Indeed, Spurs may feel they can trump rivals financially - although chairman Daniel Levy is clearly unwilling to spend over the odds.
Perhaps Stoke could capitalise on no.3, offering the Baggies someone in return for Berahino - perhaps Peter Crouch, someone Tony Pulis would no doubt love to have.
But an ageing Crouch doesn't quite compare to the in-demand Berahino.
Yet another Deadline Day will be dedicated to the 22-year-old - but will he end it at Stoke, Newcastle, Tottenham or West Brom?