It is understood the Baggies had a bid rejected for the 25-year-old centre-back, who has only one year left to run on his deal at Villa Park.
Villa are eager to agree new terms with a player whose impressive performances last term saw him finish third in the club's player of the season voting but though his departure would be unlikely, Albion remain watchful of the situation.
The club have, meanwhile, rejected claims of an approach for Berahino after a host of national newspapers yesterday claimed Spurs boss Mauricio Pochettino was plotting a move for the 21-year-old so he could partner him with Harry Kane.
But Albion confirmed yesterday they have received no contact from Tottenham – or any other club – for Berahino's services and nor would they welcome any.
Earlier this month it was revealed boss Tony Pulis and the Albion
board are planning fresh contract talks with the striker who currently has two years left on his £14,000-a-week deal.
Discussions are set to resume after Berahino ditched controversial agent Aidy Ward – the man responsible for securing Raheem Sterling's move from Liverpool to Manchester City.