The 23-year-old was told by United manager Neil Warnock at the end of last season that he could leave Elland Road if a suitable offer came in.
Simon Grayson, who signed Clayton for Leeds from Manchester City in 2010, remains a big fan of the former England Under-20 international and is keen on bringing him to the Galpharm Stadium as the Terriers continue to prepare for the step up to the Championship.
Leeds are believed to want around £500,000 and talks have taken place between the two Yorkshire rivals over a possible deal.
With due diligence over a proposed takeover by the group recently granted a period of exclusivity by the Elland Road hierarchy expected to continue for at least the rest of this week, Leeds are keen to press ahead with their own transfer business.
Any funds raised by moving Clayton on would, therefore, be hugely useful, especially with United’s No 1 summer target Paddy Kenny being keen to settle his own future.
Former Sheffield United goalkeeper Kenny has made it clear to friends that he is desperate to be reunited with Warnock for a fourth time in his career.
However, the £500,000 fee wanted by Queens Park Rangers has proved an obstacle for Leeds while the takeover saga has continued to rumble on.
Meanwhile, the Crown Prosecution Service have confirmed that no action will be taken following the unseemly fracas that marred the end of United’s derby clash with Doncaster Rovers at Elland Road on February 25.
United’s trip to Brighton has become their fourth game to be chosen for live transmission by Sky and will now take place on Friday, November 2, kick-off 7.45pm.