The Reds had dropped points in successive games against Leicester and West Ham, before winning comfortably against Bournemouth at home.
With City winning on Sunday, they are still top of the league on goal difference, although Liverpool have a game in hand.
And Carragher believes any criticism of his former side is unfair.
"What did they think was going to happen?" Carragher is quoted by Goal.com as saying.
"Liverpool were not going to win 14 straight games to the end of the season. They were going to drop points, things are going to happen, nerves are going to kick in. And that's for everyone, not just Liverpool.
"The criticism from outside is harsh on the team and the manager. What they've done this season is unbelievable. To actually be up there with City, a team who had 100 points last season and who will be close to that again this time, is remarkable.
"To talk about nerves and stuff like that is unfair. They're not going to win every game. But at this moment, Liverpool are the only team in the country that can say 'if we win every game, we win the league'.
"There's still time to go, but it's not a bad place to be at this stage. And the win against Bournemouth just puts that negativity and the talk of nerves and all that to bed."