The Seagulls climbed up to 14th with a win over Leeds United last weekend, and more importantly, opened up a 10-point gap between themselves and the bottom three.
Safety now looks all but assured, and in recent days, manager Graham Potter has emerged as a shock candidate for the vacant Tottenham Hotspur job.
But Albion chief Paul Barber is adamant that the boss is not going anywhere.
Speaking to The Argus, he said: “We have no desire whatsoever to lose Graham.
"Graham is very happy here.
"We are delighted with the work he is doing, we are delighted with the work the staff around Graham are doing.
“As far as we are concerned there is absolutely no way we would allow Graham to leave at this time.
"I don't think there is any interest in Graham's part whatsoever either. He's happy doing what he is doing and we are delighted with what he is doing for us.
"Over the last two seasons, people have seen the progress we have made in terms of the style of football we have played against teams that have substantially more expensively assembled squads than us and a very significant part of that is down to Graham's coaching and his style.
"We are delighted with him and we expect him to be here for many years to come."
We’ve gathered the best of today’s Premier League transfer speculation involving Brighton and the rest of their top flight rivals below:
5. Newcastle fired Ajer warning
Kristoffer Ajer would get “found out” in the Premier League if he were to leave Celtic for Newcastle United, according to Gabby Agbonlahor. (Football Insider) (Photo by Ian MacNicol/Getty Images) Photo: Ian MacNicol
6. Burnley plot Burton raid
Burnley are casting an eye over defender Brad Burton with the Aston Villa youngster having been at the club for a trial. (Lancs Live) (Photo by Stu Forster/Getty Images) Photo: Stu Forster
7. Brighton want Hamer
A handful of teams, including Brighton and Rangers, are looking at Coventry City’s Gustavo Hamer ahead of this summer’s transfer window. (Football League World) (Photo by Nathan Stirk/Getty Images) Photo: Nathan Stirk
8. Alioski agrees exit
Leeds United defender Ezgjan Alioski has a deal in place to join Galatasaray in the summer when his contract at Elland Road expires. (FotoMac) (Photo by PAUL ELLIS/POOL/AFP via Getty Images) Photo: PAUL ELLIS