The Seagulls finished 16th in the table, but had one of the highest xG rates in the division, and a prolific hitman could well prove to be the difference between success and another season of indifference.
If they could find somebody even half as successful as Glenn Murray they would be on to a winner.
The 37-year-old announced his retirement from the professional game on Monday, and Albion skipper Lewis Dunk was quick to pay tribute to his former teammate.
He said: “He leaves us as an Albion legend, having become the club’s greatest post-war goalscorer.
“I know I speak for all my team-mates old and new when I say, thank you for those great memories.
“Glenn is welcome back any time, when all the players, staff and supporters will, I know, like to say a big thank you for your commitment, dedication and, of course, all the goals.
"I know all the fans will treat you as one of their own, so please don’t leave it so long as we would all love to see you here back at the Amex.”
Manager Graham Potter added: “Glenn has been outstanding for this football club, a great pro and a pleasure to work with. He has quite rightly earned legend status here for what he has achieved and his professionalism.
“He will always be welcome back at Brighton, whether that’s at the training ground or the Amex.”
We’ve gathered the best of today's Premier League transfer speculation below...
1. GLASGOW, SCOTLAND - APRIL 03: Akeel Francis of Falkirk vies with Kris Ajer of Celtic during the William Hill Scottish Cup third round match between Celtic and Falkirk on April 03, 2021 in Glasgow, Scotland. Sporting stadiums around the UK remain under strict restrictions due to the Coronavirus Pandemic as Government social distancing laws prohibit fans inside venues resulting in games being played behind closed doors. (Photo by Ian MacNicol/Getty Images)
Celtic’s Kristoffer Ajer will become Newcastle United’s first signing of the summer transfer window in a deal worth around £6m. (Mirror) (Photo by Ian MacNicol/Getty Images) Photo: Ian MacNicol
2. Oostende's Jack Hendry and Gent's Milad Mohammadi fight for the ball during a soccer match between KV Oostende and KAA Gent, Sunday 06 December 2020 in Oostende, on the fifteenth day of the 'Jupiler Pro League' first division of the Belgian championship. BELGA PHOTO KURT DESPLENTER (Photo by KURT DESPLENTER/BELGA MAG/AFP via Getty Images)
Burnley transfer target Jack Hendry says he is unsure of what the future holds for him as he prepares for Euro 2020 with Scotland. (Various) (Photo by KURT DESPLENTER/BELGA MAG/AFP via Getty Images) Photo: KURT DESPLENTER
3. Liverpool set for Minamino talks
Liverpool will hold crunch talks with Takumi Minamino following international duty with the Japan international open to a return to Southampton next term. (Hampshire Live) (Photo by Koji Watanabe/Getty Images) Photo: Koji Watanabe
4. Kenny claims Meslier could be tempted to leave
Leeds United goalkeeper Illan Meslier will “definitely be tempted” if a glamorous club comes calling this summer. (Football Insider) (Photo by Michael Regan/Getty Images) Photo: Michael Regan