Marcus Bean's dramatic winner against Hull could be the spark for Brentford after a difficult start to the season.
Bean headed home Charlie MacDonald's centre two minutes from time after Robbie Simpson's 25-yard free-kick had equalised Mark Cullen's opener for Hull at Griffin Park.
Brentford, with only one point from their opening three games in League One, had an escape when Richard Garcia hit a post but manager Andy Scott said: "I was delighted with our work ethic to keep going to the end.
"We've been poor in the cups since I've been here but now we have a squad strong enough to cope in the Cup and League. I've enjoyed watching us this season and Hull is a good scalp."
Hull boss Nigel Pearson said: "Brentford showed a lot of desire in both boxes and I can't take anything away from them."
