The visitors, who were forced in to making three changes due to injuries, were 2-0 down inside eight minutes and crumbled at the Tottenham Hotspur Stadium.
Sean Dyche's side have now conceded 11 goals in their last three fixtures. Here's how Dan Black scored the performances.
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Hull's Peter Skipper (left) and David Rennie batlle it out in front of 13,551 at Elland Road.
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Action from the League Cup round two, second leg clash at Elland Road as Leeds tried to overcome a 2-3 first leg deficit.
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The Whites could not find a breakthrough.
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Ian Baird heads home against Pompey at Elland Road.