Leeds remain without a league victory since April after snatching a 1-1 draw against West Bromwich Albion in Friday's Championship clash at Elland Road.
Aiming for an immediate return to the Premier League after last season's relegation, Leeds are off to a slow start in the second tier.
Daniel Farke's side trailed to Brandon Thomas-Asante's controversial opener, which came off his arm, early in the second half.
Luke Ayling rescued Leeds with his bullet header in the closing stages, but the Yorkshire club are without a win in three league games this season.
Leeds had started brightly and Daniel James forced Alex Palmer into a good low save after a deflection.
The hosts threatened again when Jamie Shackleton's speculative effort took a wicked deflection off Cedric Kipre as it hit the base of the post.
Leeds keeper Illan Meslier produced a superb save to palm Jed Wallace's effort onto the post in the second half.
Thomas-Asante broke the deadlock in the 52nd minute.
Leeds failed to clear a near-post corner and Jayson Molumby's strike went through a sea of bodies before being diverted goalwards off the striker's arm.
Leeds upped the ante with time running out, with Palmer pulling off a stunning fingertip save to keep out a James thunderbolt which was destined for the top corner.
It was the former Manchester United winger who created the equaliser as Ayling made a superb run to get on the end of James' cross and head home the 72nd-minute leveller.