Tottenham boss Jose Mourinho was delighted with the victory and their performance at Sheffield United on Sunday.
Serge Aurier broke the deadlock after five minutes when he headed home Son Heung-min's corner.
Harry Kane made it two just before half-time thanks to a low drive from outside the box past Aaron Ramsdale.
The Blades got back into the game when David McGoldrick scored a glancing header.
But Ndombele restored Spurs' two-goal advantage hit a brilliant lob over Ramsdale.
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