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Lamptey, 21, has been a star for the Seagulls since arriving from Chelsea 12 months ago and was speculated to be in the Premier League rivals’ crosshairs for a January move.
But manager Potter has insisted that Brighton are “not a selling club” while noting that his team should take the rumours as a byproduct of their success.
"I'd expect all of our players to be with us [at the end of the window]," he told reporters. "There's a lot of speculation out there but nothing to report.
"The fact that there is speculation out there means you are doing something quite well. And as a club you can be okay with that type of speculation. You never know what the window brings in terms of whether anything comes from the outside, which you have to factor in.
"We're not a selling club at all, we don't have to sell anybody. But you never know in this world, so you have to be a little bit aware of that."
Tottenham are said to be seeking a new wing-back to suit Antonio Conte’s 3-4-3 formation, with Wolves’ Adama Traore also deemed of interest, while Mikel Arteta reportedly wants competition for Takehiro Tomiyasu. It was claimed that Brighton want £50million for Lamptey.
The Seagulls have already been active in the January window, allowing Jurgen Locadia to leave for Bundesliga side Bochum and signing Polish teenager Kacper Kozlowski from Pogon Szczecin.
"January is difficult for that type of signing," Potter added, with Kozlowski loaned to Belgian side Royale Union St-Gilloise.
"We've always had a good idea of how we want to work in the windows. We work ahead. It's not like we are caught by surprise. We have a strategy, we have an idea of what we want to do as a club and we follow that.
"You've always got to be on your toes, you've always got to be aware of what's out there but, at the same time, we've got an idea that we want to follow through and we'll do our best with it. I'm really happy with the group we've got."