The 20-year-old broke onto the scene during the end of the 2019/20 season having joined from Chelsea in the winter transfer window for just £3million.
He carried that momentum into the beginning of this campaign and his lightning performances quickly fetched interest from a number of Premier League and European clubs.
In a bid to fend off interest, Albion tied Lamptey down to a new contract until June 2025 but the speculation has not gone away.
Last week, the England under-21s international was linked with Arsenal. Now, it’s Everton reportedly eyeing Lamptey.
According to the Liverpool Echo, the right-back, alongside Norwich City’s Max Aarons, is being considered as a possible replacement for Seamus Coleman.
It is claimed Lamptey, who has missed Albion’s last 12 matches due to a hamstring injury, has admirers at Goodison Park but his £30million price tag is “complicating matters”.
Indeed, while Lamptey is viewed as an option, Blues boss Carlo Ancelotti prefers to sign a taller full-back, with the electric Lamptey 5'5" tall.
Lamptey is nearing full fitness at Brighton having just missed out on a place in the matchday squad for the controversial 1-0 defeat at West Bromwich Albion.
Here are the latest transfer headlines from Brighton and their Premier League rivals:

1. Beckham not ruling out Messi or Ronaldo move
Inter Miami co-owner David Beckham has not ruled out trying to sign Barcelona star Lionel Messi - linked with Manchester City - or Juventus forward Cristiano Ronaldo for the MLS club. (Daily Mirror) Photo: Michael Reaves

2. Maldini to hold Tomori talks
AC Milan technical director Paolo Maldini wants to hold talks with Chelsea about the £26million option to turn Fikayo Tomori's loan into a permanent move as the Serie A club feel it is "very high". (Sky Sports) Photo: ALASTAIR GRANT

3. Pope destined to join top club
Former England goalkeeper Paul Robinson says Burnley goalkeeper Nick Pope is “one of the best” in the Premier League and is destined to join a top club amid links to Tottenham Hotspur. (Football Insider) Photo: Clive Brunskill

4. Magpies prepare summer bid
Newcastle United are preparing a £26million offer for Valencia forward Lee Kang-in. The South Korean, who is just 20-years-old, is also on the radar of Italian giants Juventus. (Fichajes via Calciomercato) Photo: David Ramos