Garry Monk disappointed to just take a point from Fulham clash
But that setback did not affect the hosts, who dominated and were furious Neeskens Kebano's 23-minute shot was not allowed.
The midfielder's effort hit the underside of the crossbar and bounced out but TV replays suggest the ball had crossed the line.
Tim Ream scored an own goal for Leeds' opener
Fulham continued to pile the pressure on the Leeds goal and Kalvin Phillips' late red card for a second yellow did not help the visitors, who finally buckled when Tom Cairney struck from distance.
Alfonso Pedraza hit the post for Leeds on 74 minutes – and Monk is confident his side would have left Craven Cottage with three points had it gone in.
Monk said: "We had a game plan and followed it excellently against a good side who have been free-scoring here.
"It feels like a sucker punch with the way it came at the end very end, but that's football.
Tom Cairney bagged Fulham's equaliser
"You have to take it on the chin. It was a good point against a very good side.
"We needed a second goal and the ball hit the post which would have done it. That would have sealed the game for us.
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"Things went for and against them and us. It's another performance and a point to where we want to go."