The Hashira training started few days ago. Tokito's training is specified on Quick movements.

You were called to help Mui at his training. The demon slayers you both were training were weaker compared to both of you.

Now he is training some demon slayer as they both have wooden katanas and Mui fights with him.

You could see he is going slow on him "Demon would already hit you 3 times by now." Muichiro thought in his mind "Hey you're volnurable from the side" Mui said and aimed at his hip.