Early in the ill-fated 5-0 loss to United at the Reebok Stadium on Saturday, Davies made a rash challenge on Cleverley, forcing the youngster off the pitch.
Initial fears were that 22-year old Cleverley had broken a bone in his foot but it has since been revealed that he just has ligament damage in his ankle and will only be sidelined for up to four weeks - an outcome that has been positively received by Davies.
"Tackle-wise I've not seen it back," he told Sky Sports News.
"I spoke to Tom Cleverley, I was made to believe he had got a fracture or something so when I got home, I didn't realise after the game, I've seen the reports going on with the game so I put a call in to him and he was fine.
"I'm pleased there was no serious damage to him.
"After that, it was a tackle which maybe I mis-timed and I got a yellow card which was just deserved, so for me I'm not sure what it's all about."
He added:" I actually texted him and he rang me back, he said he'd seen the tackle and didn't think it was that bad.
"So it's all fine, it's all done and dusted for me, it's a contact sport, it's a derby, I was trying to do my bit for Bolton to win the game. It's a side of my game.
"For me it's done and you move on."