The injury-ravaged Tigers were 10 minutes away from grabbing an unlikely point at Tottenham on Sunday only to be denied when a contested handball decision against Ahmed Elmohamady allowed Roberto Soldado to win it from the penalty spot.
Manager Steve Bruce and his players were furious at the award and will get an immediate chance to avenge it when they visit North London in the fourth round of the Capital One Cup.
"To have that penalty decision go against us was very disappointing. There's nothing we can do about it now, we just have to hope they even themselves out over the season," said defender Alex Bruce.
"We had a game plan and we stuck to it. We defended well and Tottenham, for all of the quality they've got, struggled to break us down.
"The only real chance I can think of was the penalty.
""It is going to be a tough game because coming here is very tough, but Sunday was the important one and it's a shame we got beat because the Premier League is the main aim.
"But we'll come here, enjoy the occasion on the night and try to beat them again."
Bruce, who has slipped down his father's pecking order following a post-promotion recruitment drive, was making his first start of the season against Spurs at the weekend.
He is set to retain his place as Bruce senior attempts to balance a desire to rotate his squad for the cup with a worrying collection of injuries.
There were 11 changes for Hull's first cup outing of the season but a series of fitness setbacks mean that is a luxury no longer available to the manager.
With James Chester, Allan McGregor, Danny Graha and Sone Aluko all ruled out and questions marks over Abdoulaye Faye, Robert Koren and Robbie Brady, there are a limited amount of options available.
Steve Bruce will also be keen to rest key men Curtis Davies and Tom Huddlestone ahead of the weekend visit of Sunderland, meaning the likes of Aaron McLean and Nick Proschwitz could be handed rare starts.
Alex Bruce stepped up impressively when offered a similar chance at the weekend and he believes it is important that every player is ready when called.
"It's a squad game nowadays, you can't rely on 11 players in a season or you're going to be struggling. There's going to be injuries," he said.
"You need to utilise the squad because you can't play the same 11 week in, week out.
"You've got to have a strong 18 or 22 players who, when called upon, have got to do a job. I think the lads who came in (on Sunday) did that."