Harte is expected to leave Reading this summer when his contract at the Madejski Stadium expires.
The goalscoring defender has seen his first-team chances limited this season and new Reading boss Nigel Adkins is thought to be willing to let him move on
The news has alerted a host of clubs to his availability and Leeds are thought be exploring a move to re-sign the former Republic of Ireland international.
Full-back Harte came through the ranks to make his professional debut at Elland Road and went on to make nearly 300 appearances for the club between 1996 and 2004.
Leeds boss Brian McDermott is a big admirer of Harte having worked with him during his time in charge of Reading and he is believed to have made a new left-back one of his top priorities this summer.