Online bookmaker William Hill has offered 66/1 against the Albion topping the Premier League by 8pm on Saturday evening (12 August).
The Seagulls are 8/1 to beat Manchester City outright on the day, with the draw around 3/1.
Fifteen years ago the Seagulls stunned Burnley on the opening day of the season, beating the Lancastrian side 3-1 at Turf Moor.
Steve Melton, Paul Brooker and Bobby Zamora all made it on to the scoresheet.
But Albion didn’t go top that day as Rotherham thrashed Millwall 6-0.
Manchester City are odds on at 1/3 to beat Albion in the opener.
The match kicks off at 5.30pm at the Amex and will be featured live on television on BT Sport.