United have now recorded goalless draws on five occasions against other teams that make up the so-called top six so far this season, and have scored just once across those seven fixtures following Bruno Fernandes' penalty against Tottenham.
But Carragher reasoned: "We were very critical of him [Mourinho] on this show as a Manchester United manager.
"When we talk about going for it, I think there's a difference between what you do with the ball and what you do off the ball.
"And when we criticised Jose in the past, it was almost because when they didn't have the ball, it was a back six. It was really deep.
"I think this was one of the bravest and most on the front foot I've seen Manchester United without the ball. I thought they were very brave in this game.
"I thought they were very brave on the front foot, pressing, man to man all over the pitch. But in that final third, they just didn't have that quality and that is an issue."