Will Hoskins has vowed to fight for his Albion career after clinching the FA Cup victory over Newcastle.
The substitute slotted home David's pass three minutes from time to end a 16-month goal drought for the Seagulls.
It was his first goal for the club since scoring at Cardiff at the start of last season and his second in 19 appearances since signing from Bristol Rovers two summers ago.
Hoskins, plagued by injury problems including a broken foot earlier this season, went on loan to Sheffield United for three months during the 2012 January transfer window.
The 26-year-old, out-of-contract in June, told The Argus: "After breaking my foot I think everyone might have said my days are numbered but I kept my head down, kept going and kept strong. I'm not a quitter.
"I am driven and I want to succeed. I want to do it for my family, I want to do it for myself and I want to do it for this club as well, given the chance.
"I've been in the team or on the bench since coming back from the foot injury sooner than expected.
"I've worked hard, had a few starts and a few chances that have eaten away at me a little bit that I should have converted, so to score is a massive positive."