The former Leeds United loanee played a starring role in the Whites' return to the Premier League during the 2019-20 season, and he started 36 of Brighton's 38 top-flight games last term.
According to the Daily Mail, the Gunners have held positive talks with the Seagulls over a move, but the centre-back's £50m-rated price tag could still prove to be problematic.
A separate report indicated that Arsenal are happy to fork out that sum of money for White, though, and the 23-year-old is said to be keen on a move if Brighton's fee is met.
White linked up with the England squad for Euro 2020 following Trent Alexander-Arnold's withdrawal through injury, and he was an unused substitute in the Three Lions' opening 1-0 win over Croatia at the weekend. body check tags ::