Indeed, the north London side left Goodison Park with a point, despite Aaron Lennon opening the scoring with a fine finish against his old club.
But, as much as Carragher was impressed with the strike, he feels Tottenham centre-back Vertonghen should have tried far harder to block the shot.
Carragher said at half-time during Sky's Super Sunday coverage: "It’s a great goal from Lennon but Vertonghen has got to want the ball to hit him. And he’s turning his back on it."
Ultimately, Dele Alli's equaliser meant Lennon's goal didn't cost Spurs too much. But, were it not for the Everton man's first-half finish, Tottenham may well have gone home will all three points.
It was a brilliant, well-contested game and both sides could suggest they should have won it. Perhaps Carragher is also being harsh on Vertonghen, although the reaction to the comments from some fans suggest the 27-year-old has done this before for Tottenham.
If anything, one can definitely criticise Vertonghen for not being Spurs' best defender. That accolade goes straight to Toby Alderweireld, who has come in and very much stolen the limelight from his team-mate and compatriot.