The Mali international will have just 12 months remaining on his contract this summer and continues to be linked with moves to Aston Villa, Newcastle, Arsenal, Liverpool and Man United.
Bissouma joined Albion for £15m from Lille in 2018 and has developed into one of the best midfielders in the Premier League.
At his best, the 25-year-old offers Brighton strength and guile in the midfield and also has the ability to drive forward and start attacks.
His form has dipped of late since his return from the Afcon but he remains a serious asset to Brighton and a major force in head coach Graham Potter's team.
Bissouma is rated at around the £40m mark and last January Brighton turned down a bid of £20m plus from Aston Villa for his services.
Steven Gerrard hinted Villa will return this summer and could up their offer for a player Potter previously said is capable and ready to play at Champions League level.
Gerrard's team could however face stiff competition as the other Premier League teams weigh up their midfield options.
Potter also previously stated he does not fear losing Bissouma and said it could create opportunities for the young midfielders in his squad to increase their game time, including the likes of Steven Alzate, Enock Mwepu and Moisés Caicedo.
The sale of Bissouma could spark a bidding war and Brighton may look to bolster that area of the pitch should their star man depart. Here the Brighton Indy have looked at few interesting options who could be available this summer.
Scroll down and click through.
5. Oliver Skipp
Another Tottenham midfielder more than capable of playing regularly in the PL. Enjoyed a great loan at Norwich in the Championship at Norwich and started the season well at Spurs. Groin injury has hindered his progress but should be fit after the break. Still just 21 and very bright future ahead.
6. Billy Gilmour
The young Chelsea player has struggled to produce his best form this season while on loan in a struggling Norwich team. A player with huge potential and may seek a permanent move away from Chelsea to get regular football. Would be a popular addition.
7. Ruben Loftus-Cheek
A high level performer when fully fit. A powerful and athletic player who has had loans at Palace and Fulham. Far from a regular at Chelsea and could fill the void left by Bissouma. Wages would likely be a major issue for the 26-year-old who should be approaching his peak. Needs a refresh and a big season.
8. Isacc Hayden
The Newcastle midfielder has previously been linked with a move to Brighton and the 26-year-old former Arsenal youth player is tipped to exit the Magpies this summer. Hayden has not featured for the Magpies since picking up a knee injury last December. He has been included in Eddie Howe's squad for their Dubai warn weather training trip.