"There have been a few times where we thought we can catch Spurs, then a couple of times when we lose a game that we can't - now after these last two games we probably think we can," said Carragher.
"We have now got two homes games to come, but the best thing is not to worry about Tottenham and just worry about ourselves, then see at the end of the season where we come."
England under-19 midfielder Jonjo Shelvey also made an appearance, all of which left veteran Carragher, 33, in no doubt his club's future was in safe hands.
"Having all these young players is great testament to them and the work done down at the Academy as well as the manager for giving them a chance," said Carragher.
"To achieve what we have in the past two games with all the injuries and having to play the young lads bodes really well for the future this season and next.
"Over the past few years our academy has had a bit of criticism, but if you look at the last 15 or 20 years, there can't be many clubs who have produced more quality players than Liverpool."
Carragher, born in Bootle on Merseyside, continued: "The main thing is the players are good enough, it is not where they come from.
"But of course I think supporters would like to see local players coming through, but the main thing is the quality and those lads have shown today that they certainly have the quality and hopefully a few more will come through.
"It is great to have them in the side, and it also saves the club money."