Tierney started almost every game for Arsenal in the Premier League last season that he was available for but he has struggled for game-time this term.
With added competition provided by Oleksandr Zinchenko, Tierney has started just four Premier League matches this season.
Newcastle are interested in taking on the Scottish left-back in the summer but they now face added competition for him.
Both West Ham and Everton are keen on the Arsenal star and could pursue a move for him in the summer transfer window.
Tierney has a contract until the summer of 2026 with Arsenal and it remains to be seen if the Gunners are willing to let go of him at the end of the season.
Newcastle have relied on Dan Burn at left-back for parts of the season and could bring in Tierney to add depth for the next campaign.
Both West Ham and Everton have endured disappointing seasons and could look to bring in Tierney to improve next term.