Ange Postecoglou's side traveled to Old Trafford last week without a number of key players such as Heung-min Son, James Maddison, Ben Davies, Giovani Lo Celso and Dejan Kulusevski.
With Spurs currently sitting in fifth position, the result against Erik ten Hag's side was much-needed as they look to keep pace with the division's top sides.
But while the result at Old Trafford is seen by many as a big result given their lack of available stars, Man United star Keane was having none of it.
Speaking on The Overlap, Keane said: "Spurs drew 2-2 with Man United, United have lost nine league games - Bournemouth won 3-0 there two or three weeks ago and Spurs are buzzing with a draw.
"Everyone was - 'Spurs are amazing, Spurs are…', but it was 2-2!"
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Responding to Gary Neville making the point that they were without a number of key players and dominated the game, Keane replied: "Do you know what's really important in football, Gary? The score!
"It was 2-2 - it doesn't matter who is missing! Clive Allen, Glenn Hoddle - Man United were missing players and United are poor.
"Sometimes you've got to go and lay a marker down by beating United, but to come away and say 'we played so well and drew' - so what?
"Bournemouth won there three weeks ago, 3-0 - Bournemouth! Spurs are supposed to be better."
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Tottenham enjoyed an electric start to the season, but have seen themselves drop out of the top four of late.
However with just five points separating them from top-of-the-table Liverpool, Postecoglou will be desperate to kick on in the weeks ahead.