The centre-back was an integral part of Leeds United's Championship-winning season, playing in every match and enhancing his growing reputation.
But Brighton boss Graham Potter was always insistent that White is an integral part of the club's future and that it would take a gigantic offer in order for a sale to be considered.
Leeds have since turned to other targets and it appears that White will now spend next season at least on the south coast, having signed a contract with an increase in salary.
Potter said of the defender following the friendly draw with Chelsea on Saturday: “He has got on with his work, he enjoys being with the players, he enjoys football.
“He just wants to get on and play football as well as he can.”