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But Keane has been vocal with his stinging criticism of Spurs this season and even branded them an "average Premier League side" without Son Heung-min and Harry Kane.
The 49-year-old Manchester United legend locked horns with Jamie Redknapp earlier this month as he repeatedly spotlighted what he saw as "softness in this Spurs team."
Carragher admitted that he 'fights' back against fellow pundits who throw around phrases like "'typical Spurs,' 'Spursy,' 'they're weak'" when talking about Tottenham.
The 43-year-old then went on to brand it as "lazy punditry," saying that he has seen "some brilliant Spurs teams" during his time as a pundit.
Speaking on Sky Sports, Carragher said: "In this job I do, a lot of people, a lot of pundits, say 'typical Spurs,' 'Spursy,' 'they're weak.' I fight against that.
"The reason being is because I think it's lazy punditry. I do. In the job I've been doing I've seen some brilliant Spurs teams.
"Not won the league, not won the Champions League. But being totally honest you wouldn't expect them to.
"What we saw under [Mauricio] Pochettino for three years was outstanding. What I saw under Harry Redknapp for two, three years was outstanding as well."
Jose Mourinho was axed as Spurs boss ahead of the League Cup final as Ryan Mason replaced him as interim head coach.
City centre-back Aymeric Laporte struck late in the second half to clinch the trophy for Pep Guardiola's men.
Carragher insisted that he understands why Spurs are heavily criticised in finals, especially after Tottenham's performance against City.
The Sky Sports pundit explained: "When Spurs fans get upset, the reason people speak about them in them terms is because of games like this.
"The last four cup finals they haven't scored a goal. And this performance is basically why they're stuck with this tag.
"And I can't argue for them. And Spurs fans can't argue for them on the back of this performance. It is on the players. Nothing to do with the manager."
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