The three Premier League sides are believed to have been scouting him at recent matches, with the 22-year-old having become a regular in Marcelo Bielsa's side this season, making 25 Sky Bet Championship appearances and two in the Carabao Cup.
There is no break clause in his season-long loan from the Seagulls, however, so the most likely chance of a deal this month would be for a club to buy him and agree to loan him straight back to Leeds for the rest of the campaign.
Premier League leaders Liverpool are not expected to follow up on their reports on White in this window.