The Guardian reports that Moyes has thanked the supporter base for their continued support and that he expects things to improve.
He also admitted he knew the job in hand would be tough but did not expect his first season at Old Trafford to be as bad as it has:
While I knew that this job would be a challenge when I took it on, the difficult season we have experienced was not something that I envisaged, which I am sure is the case as well for you supporters—and my players, staff and I are desperate to compensate for that.
You are accustomed to seeing a successful Manchester United and the backing you have given the players and me throughout the season has been incredible. Away from home the travelling fans have remained the best in the country while at Old Trafford your unwavering faith has been noticeable and hugely welcomed.
Supporting your team when they are winning is easy but much harder when things are not going as well, and the loyalty you have shown us has been magnificent. Everything we have been through will make us a better, stronger team and club in the future. Over the years you have seen great winning sides here and, in time, I have absolutely no doubt that we will see great winning sides here again.
The admissions by Moyes are not unexpected. His side have lost eight games this season in the Premier League, only scoring 43 times while conceding 31 goals, per Squawka.
Former footballer and now TV pundit Jan Aage Fjortoft commented on Twitter as to why Moyes will get time to achieve the expectations he has outlined:
Everyone knew the potential for the United job to be a poison chalice was there, once Sir Alex Ferguson retired. Moyes has tried to keep his head above water during his first months in charge, remaining positive in front of the world's press. But he is now starting to sink, with his statements starting to sound repetitive and weak.
The first failure came in the summer transfer window, and this has hurt Moyes and the club ever since. The inability to recruit players who could make an impact in the starting XI has been punishing United since August.
It seems unlikely that the owners of the club will make a knee-jerk decision over the new manager, but the remaining Premier League matches will determine how much confidence they have in him to spend the war chest of money they might make available in the summer.
It is questionable they will trust him with a huge sum of money after such a terrible opening few months of his tenure.
His saving grace will be Ferguson though. He has the director's backing and he was Ferguson's choice to succeed him. If Moyes can navigate his way through to the following summer where he can then purchase in volume, he might just survive and prolong his time in the hot seat.
In the meantime, United face a revolt from fans over the prices of tickets for the Europa League next season, should the club qualify for the competition.
Chris Wheeler of The Mail Online reports that out of 800 supporters surveyed by the Manchester United Supporters Trust, 73.5 per cent said that the decision to renew their season tickets would definitely be affected if the club includes Europa League ties in its controversial Automatic Cup Scheme.
Another 17.2 per cent said it may have an impact on their decision.
This information will worry the Glazers who will be wary of upsetting the fanbase after such a poor season. Their business models are based on sponsorship and revenues, and season tickets are part of the make-up of this.
A concession for fans seems unlikely, and United may hope Moyes' timely message appeases the growing feeling of discontent around Old Trafford.