Some reporters suggest the player is concerned Newcastle could be relegated this campaign.
Berahino - who was the subject of a club-record £21million bid from Newcastle yesterday - is also thought to be interesting Stoke City and Tottenham Hotspur.
The striker will target talks with Baggies manager Tony Pulis and chairman Jeremy Peace today, according to the Daily Mail.
The 22-year-old has 18 months left on his contract at the Hawthorns, and the newspaper claims that Stoke have made an offer of £20million plus add-ons.