Adrian made his West Ham debut at Old Trafford as he shipped three goals in a 3-1 defeat in December 2013, though the shot-stopper believes that his side were unlucky on the day.
"Going back to Old Trafford is very nice for me because I made my Premier League debut there last season," he told the club's official website. "We were unlucky to lose, but this year we go there with a different mindset because we achieved a big win last Saturday.
"I have a lot of confidence in my team-mates and I think we can put in a great performance and get some points there.
"Apart from Southampton, when we played a bad game, our performances in the rest of the matches have been very good - strong in defence and lots of chances to score in attack. We need keep up this performance level at Old Trafford."
West Ham face United later today.