Spurs manager Mauricio Pochettino had retained just two players who started the midweek Capital One Cup semi-final win over Sheffield United, but offered no excuses for the defeat against Leicester City at the Lane.
The Foxes had been trailing to a penalty from Andros Townsend and levelled with seven minutes left when Leonardo Ulloa swept the ball into the bottom corner.
There was then late drama in stoppage time when Vorm allowed a scuffed shot from Jeff Schlupp to squirm over the line.
Pochettino said: “This (rotation) is our way since the beginning of our season, and I do not think this is a reason to justify the result.
“During the game we played well, but you need to kill the game.
“We created chances, but also gave Leicester the chance to be alive.
“We are out of the FA Cup, and for that I am very disappointed.”
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