The Englishman signed a five-year deal with United this week, ending speculation about his future after back-to-back loan spells at Sheffield United.
Chelsea had been linked with a move for Henderson, but the 23-year-old will now compete with United’s long-time No.1 De Gea for a starting place.
‘Yeah, obviously I can’t wait to get back in and I know them well,’ Henderson told the club website.
‘David De Gea has had an unbelievable career at the football club and it wasn’t so long ago I was saying, if I could replicate that career one day I would be a very proud man.
‘So to learn off him and the other two top goalkeepers within the department would be great. I am really looking forward to it.’
Henderson is yet to make his debut for United, but Ole Gunnar Solskjaer considers the stopper his future No.1.
De Gea has suffered a severe slump in form in the last 18 months and Henderson could be given a run in the side sooner rather than later.
‘That would mean the world to me,’ Henderson said about finally making his senior debut.
‘Everything I’ve done is to put myself in the position to do that. I’ve worked so hard behind the scenes and had to take different pathways to get to where I want to be today.
‘I’ve always wanted to win trophies with this great football club and I’m a very ambitious young man.
‘For me to come here and get so close, it’s about winning titles with the biggest club in the world, to me. Hopefully, we can get back to doing that soon.’