The defender is out of contract next year, and the suggestion from some quarters is that he could be sold in the coming months to avoid losing him on a free transfer in 12 months time.
West Ham and Wolves have both been touted as potential destinations for the player, but according to one pundit, any choice between the two should be a fairly straightforward one for the Clarets star.
Former Leeds United striker Noel Whelan has told Football Insider that he thinks the battling centre-back would be a perfect addition to the Hammers’ ranks.
“Yeah, absolutely,” the pundit explained when asked if Tarkowski would reinforce David Moyes’ side.
“It’s not the first time they have been interested in him. He’s a very good defender. He’s so experienced and aggressive at the back. One of those leaders every team needs.
“I have no doubt he’ll be a success. Once again Moyes is going British. Most of the players he’s brought in have been British. He’s building a solid foundation at West Ham and he wants Tarkowski to be part of that.
“It’s an ideal signing to make if West Ham want to push on and keep challenging.”
Tarkowski made 36 appearances for Burnley in the Premier League last season.
We’ve gathered the best of today’ Premier League speculation below…

. MANCHESTER, ENGLAND - FEBRUARY 21: A general view of the white and blue Nike Flight match balls on the pitch prior to the Premier League match between Manchester United and Newcastle United at Old Trafford on February 21, 2021 in Manchester, England. 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 Phil Noble - Pool/Getty Images)
Premier League match ball. (Photo by Phil Noble - Pool/Getty Images) Photo: Pool

1. Daka joins Foxes
Leicester City have confirmed the signing of exciting striker Patson Daka from RB Salzburg. He's joined the club on a five-year deal, after blasting his way to 27 goals in 28 games in the Austrian top tier last season. (Club website) (Photo by Dean Mouhtaropoulos/Getty Images) Photo: Dean Mouhtaropoulos

2. Nandez 'destined' for Leeds move
Cagliari midfielder Nahitan Nandez is ‘destined’ to sign for Leeds United this summer. (La Nuova Sardegna) (Photo by Wagner Meier/Getty Images) Photo: Wagner Meier

3. Toon look to tie Murphy down
Newcastle United are said to be moving closer to tying down Jacob Murphy to a new long-term deal. The 26-year-old has been linked with a host of Premier League club this summer, but look to have now made a breakthrough in negotiations with the player. (Football Insider) (Photo by Alex Pantling/Getty Images) Photo: Alex Pantling

4. Bielsa convinces Firpo
Barcelona defender Junior Firpo wanted to join AC Milan – but has been convinced by Marcelo Bielsa and Victor Orta to join Leeds United instead. (Sport) (Photo by Gonzalo Arroyo Moreno/Getty Images) Photo: Gonzalo Arroyo Moreno