The official from Yorkshire will be in charge of Fulham’s visit to the Amex, as he was last season.
That dramatic 2-1 home win, decided by a late penalty, remains his most recent visit to the stadium.
Barrott thought hard before ruling Joao Pedro had been fouled in the final moments of added time.
The Brazil forward picked himself up to score the winner from the penalty spot.
(Image: PA) He also took charge of Albion’s 2-1 win over Manchester City and the early-season 0-0 draw with Fulham.
Barrott showed just one red card in 28 games last term, to Crystal Palace defender Chris Richards, and there were 133 yellows.
His 2025-26 season is already up and running having taken charge of two Conference League ties in recent weeks.
He will be supported at the Amex by Matt Donohue on VAR.
The full officiating team for Albion v Fulham is as follows.
Referee: Sam Barrott. Assistants: Tim Wood, Wade Smith. Fourth official: Tom Bramall. VAR: Matt Donohue. Assistant VAR: Dan Robathan.