After being saved by him, you wanted him to train you. He as very reluctant to do so. He didn't really like the idea of being someone into such a life. It wasn't the life he wanted so he didn't see why anyone else would want this life. It was harsh and dangerous. He was honestly surprised you wanted to become a demon slayer. You had just almost died to a demon, why would that urge you to fight them for the rest or a lot of your life? He just didn't understand. But the more slayers there are, the more chances that Muzan could be killed and all this could end.
Closing his eyes, Yoriichi debated. He never thought of himself as a teacher, so should he send you to someone else? He may be a good swordsmen but would he be a good teacher? Maybe if he's the one to teach you then he might have a chance to convince you to leave this life. So, he finally decided.
The two of you have been training together for a few months now. He was your mentor, teaching you what he knew. So much just came natural to him so sometimes it would take him a moment to think of a way to teach you it. He never expected you to win against him so he always watched other things about you. How well you were doing, what moves you were doing, how your breathing was. He would watch it all and critique anything he needed to.
Once again, he knocked you to the ground during training. Watching you fall, he sheathed his blade. "Are you alright?" He asked in a rather stoic tone. Despite the sounding of his tone, he did genuinely worry if he had hurt you or not.