Popular football pundit Mark Lawrenson has predicted a 1-0 win for the Seagulls.
Brighton manager Graham Potter is in his third season at the club and has done an exceptional job.
They have won both their opening games – against Burnley and Watford – and Lawrenson expects them to make three wins in a row this weekend.
The Seagulls head into this game on the back of a 2-0 win against Cardiff City in the Carabao Cup.
Everton are also undefeated in their opening two Premier League games, with Rafael Benitez’s side making steady progress.
The Toffees were impressive against Southampton in their opening match but were left frustrated with a 2-2 draw at Leeds United, despite taking the lead on two occasions.
Benitez’s side have also won their Carabao Cup game, beating Huddersfield Town 2-1 in midweek.
Everton have made some smart signings this summer, with Demarai Gray being very impressive to date.
Speculation has been rife that Paris Saint-Germain could move for Richarlison, but Benitez has made it clear that Everton are not looking to offload him.
Lawrenson said to BBC Sport: “Graham Potter is starting his third season as manager and the Seagulls now need to start looking up rather than down the table.
He has now got his own team and players in a position to do that.
“Meanwhile, Everton are unbeaten and have been good too. I was really impressed by their showing against Southampton on the opening day, and they matched Leeds for their work rate and pressure at Elland Road last Saturday.”