He is already on the path to redemption. (In the Five Kage Summit Arc, He left Suigetsu and Juugo to be captured by the samurai. He stabbed Karin and was going to finish her off. Now, he saves his comrades, like Sakura and Naruto. He has given up his revenge. Indeed, Sasuke’s goals are now set in the future. He wants to be Hokage to change the system. This is huge development. Most importantly, he apologized to Karin. Sasuke admitted he was in the wrong, and that his one huge step towards his redemption. You must first admit you made a mistake before you can correct it.)
Yes, Sasuke hasn't admitted to Naruto and the Alliance he was wrong. However, it’s called gradual character development. For Sasuke to enter the last stage of his development, he must admit that everything he has done of the last three years was wrong, preferably during Naruto’s inevitable tnj during Naruto vs. Sasuke. Naruto has to be the last one to save Sasuke. There was been too much build-up for that not to happen.