Joao Pedro, also wanted by Newcastle, is leaning towards a move to Chelsea if they can reach agreement on a fee.
Chelsea have had a proposal of around £58m rebuffed with Brighton wanting in excess of £60m.
Since joining from Watford in 2023, Joao Pedro has scored 30 goals in 70 appearances for Brighton.
Borussia Dortmund's Jamie Gittens, meanwhile, has agreed a seven year contract with Chelsea.
The winger is set to undergo a medical with the Blues over the weekend.
Chelsea previously had a £42million bid turned down by Dortmund before striking their new deal.