I dunno that's hard to predict.
On the one hand Sasuke has always had a soft spot for Itachi (when he was younger he always wanted to be around him and with him) and maybe if Itachi tells him how wiping out the Leaf Village won't cleanse the Uchiha name, maybe just maybe he'll get him to change his mind.
On the other hand Sasuke may just be too ignorant and stubborn to listen even to his idol and do what he thinks will make up for the damage done to his clan.