Allmight (AKA Toshinori Yagi) was sitting on his chair in the teacher's room. He was lost in thought. 'Young Midoriya, you have all that I'm looking for in a successor. Bravery, courage, strength, intelligence, selflessness....'

"Yagi?" Asked the principal.

Toshinori broke from his trance. "Yes Nedzu? What is it?"

"You were lost in thought."

"Was I? Sorry, I was as you said lost in thought. You know that I joined this school to look for a successor right?"

"And you think you found one?" Nedzu asked. Allmight nodded in response. "Is it Midoriya?"

Allmight paused for a bit, then nodded. "He has all the aspects that I want my successor to have. But he already has a mentor." Allmight said referring to Carlos. (All the teachers know about how Carlos gave Izuku his quirk.)

Suddenly Carlos appeared out of nowhere. "Go for it"

Allmight got startled so much that he spit out his tea. "You need to stop doing that!"

"Sorry" Carlos said while rubbing the back of his neck. "But really, you should go for it. He would accept it in a heartbeat. Plus, it would cover up with the things his quirk can't do." Then Carlos left the room.

"Well, you heard him. At least there's nothing wrong with trying right?" Nedzu says before also leaving the room.

Allmight let the words of the teachers sink in, then he made up his mind. He would go to the dorms and ask Izuku to be his successor.