Taylor, who was the subject of bids from Fulham and West Ham in the January transfer window, is considering his future at Swansea after struggling to hold down a regular starting place this season.
The news has alerted a number of Swansea's Premier League rivals to Taylor's possible availability this summer with the left-back establishing himself as one of the best left-backs in the country before he broke his ankle in September 2012.
Ben Davies emerged as first-choice left-back for Swansea during Taylor's enforced absence and he has forced Taylor to play second fiddle at the Liberty Stadium since his return to fitness.
Taylor, who has started 18 games this season, is keen to be playing regular first-team football and is expected to discuss his future with Swansea boss Garry Monk this summer.
The 25-year-old has no shortage of admirers in the Premier League with the likes of Tottenham, Southampton, West Ham and Hull City all actively monitoring Taylor's situation at Swansea.
Taylor, who played for Great Britain in the 2012 London Olympics, has two years to run on his current deal and Swansea are bracing themselves for interest in the Wales international during the summer transfer window.