As per SkyBet, Leeds United are currently second in the running to land the Seagulls defender with a price of 4/1.
Manchester United lead the race at 3/1, while Liverpool have odds of 9/1.
White spent a hugely successful spell on loan at Marcelo Bielsa’s side in 2019/20, playing 49 times and helping them to secure a long-awaited promotion back to the Premier League.
Last summer, the Seagulls rejected three bids from Leeds and White has since drawn interest from the so-called ‘big six’.
Indeed, Kounde’s reported £68million asking price could price Ole Gunnar Solskjaer’s men out of a move and into the direction of White.
However, it is claimed Albion will demand around £43m for the 23-year-old, who has impressed during his debut top-flight season.
Here are the latest transfer headlines from Brighton and their Premier League rivals - with the Seagulls linked with a Gabonese striker:
. A general view of the stadium ahead of the English Premier League football match between Brighton and Hove Albion and Leicester City at the American Express Community Stadium in Brighton, southern England on March 6, 2021. (Photo by NEIL HALL / POOL / AFP) / RESTRICTED TO EDITORIAL USE. No use with unauthorized audio, video, data, fixture lists, club/league logos or 'live' services. Online in-match use limited to 120 images. An additional 40 images may be used in extra time. No video emulation. Social media in-match use limited to 120 images. An additional 40 images may be used in extra time. No use in betting publications, games or single club/league/player publications. / (Photo by NEIL HALL/POOL/AFP via Getty Images)
The Amex Stadium, home to Brighton and Hove Albion Football Club. (Photo by NEIL HALL/POOL/AFP via Getty Images) Photo: NEIL HALL
1. Chelsea consider Werner part exchange
Chelsea are considering including Timo Werner in a part-exchange deal with Borussia Dortmund to bring Norwegian sensation Erling Haaland to Stamford Bridge in the summer. (Football Insider) Photo: INA FASSBENDER
2. Arsenal plot Odegaard move
Arsenal are looking to keep Real Madrid attacking midfielder Martin Odegaard at Emirates Stadium next season, with the North London club exploring both another loan or permanent move. (Daily Mail) Photo: NICK POTTS
3. Bryan poised to leave Blades
Sheffield United defender Kean Bryan is poised to leave Bramall Lane at the end of his contract this summer, three years after joining on a free transfer from Manchester City. (The Sun via HITC) Photo: Pool
4. Van de Beek eyes Old Trafford exit
Donny van de Beek wants to leave Manchester United after starting just two Premier League games since his move from Ajax last summer. He is set to hold showdown talks with executive vice-chairman Ed Woodward. (Daily Star) Photo: Laurence Griffiths