There were definite signs David Moyes' squad are stepping up their own preparations on Saturday with a much-improved performance, during which Danny Welbeck and Jesse Lingard both scored twice and Wilfried Zaha also impressed.
"All the lads would say the Thursday and Friday sessions were really sharp," said Cleverley.
"We've definitely hit that extra gear. You can definitely see in training that the intensity has stepped up and the players are getting to know each other better.
"All the boys are really enjoying the new manager's training.
"We are moving forward and we want to keep it like that."