At that time, yes (but it seems stupid that, as far as we know, Jiraiya never told Naruto that), but even before then, Kakashi was shown to keep praising Sasuke for things while looking down on Naruto. Like when Sasuke used the Lion's Barrage, having clearly based it on copying Lee's movements from their short scuffle, Kakashi praised him for that, but when Naruto used the Uzumaki Barrage similarly, but all on his own, Kakashi didn't seem to give a crap. And then you had Kakashi trying to scold Jiraiya for teaching Naruto the Rasengan, seeing him "not ready" to learn such a powerful technique even though, as Jiraiya pointed out, he was more than willing to teach an assassination technique like the Chidori to Sasuke, so Kakashi clearly always had a bias towards Sasuke and against Naruto. This only looks even worse when you consider that, based on things he says later, Kakashi apparently always knew that Naruto was Minato's son and he clearly thinks the world of Minato, and yet still had that kind of bias thinking against Naruto.
Also look back to the bell test Kakashi was unimpressed by Naruto shadow clone. Despite them being a jonin level technique that naruto learned in one night. But was visibly shocked that sasuke was able to use the fireball technique. Despite it being chunin level and it being the trademark move of the uchiha clan.