Moyes hopes it's due to the overtime Welbeck is putting in at Carrington after United's coaching staff urged him not to let his standards slip.
"I've got to say we had a word with him about a month ago and we said that he needs to be the last off the training field,' admitted Moyes ahead of Wednesday night's Capital One quarter-final clash at Stoke.
"Wayne's out there practising his finishing each day, whether it's taking free-kicks, shooting from tight angles or bending them in. Whatever it may be, Wayne's practising and I said, 'Danny, you need to be out there every day finishing, even if it's 15 minutes at the end'. He took heed and he's out there."
Asked if he was surprised that Welbeck had to be reminded, Moyes added: "A little bit, yes. I think the young boys here are educated to keep improving and practise, but sometimes you can, without knowing, slip away from that.
"So we said, 'Every day, take an extra 10-15 minutes at the end of every session to practise all different types of finishing. Let's see if we can get more goals from you'.
"He was really sharp and incisive getting the goals (against Villa). All round I think Danny has got an awful lot of attributes and he just has to say, 'Hey, come on, I'm going to have to take this on to another level'."