But which other deals are the bookies to conclude? Simply scroll down and click through the pages to take a look at what SkyBet are saying about the Seagulls transfer targets.
All odds correct at the time of writing. Over 18s only. Please gamble responsibly and Be Gamble Aware. www.begambleaware.org.
1. Jesse Lingard - Manchester United
The Manchester United and England attacking midfielder is priced at 10/1 to link up with Graham Potter's squad. Newcaste United remain favourites at 7/2 with SkyBet. Photo: Pool
2. Alfredo Morelos - Rangers
Brighton are priced at 12/1 to sign the striker nicknamed El Buffalo. Fiorentina remain favourites, however, at 4/1. Photo: Fran Santiago
3. Callum Hudson-Odoi - Chelsea
The highly-rated Chelsea attacker has a 33/1 outside shot of joining Brighton according to SkyBet, with Champions League winners Bayern Munich favourites at 4/1. Photo: ADAM DAVY
4. Harry Wilson - Liverpool
Leeds United are favourites to sign the former Bournemouth loanee at 2/1, Brighton are priced as massive outsiders at 22/1. Photo: Pool