Everton had a tough game against Chelsea on Wednesday, losing in extra-time, and although they have a good record against United at Goodison Park in the last couple of years I think it is going to be very difficult for them to stop United from bouncing back with a win here.
The Toffees beat Fulham last week but they had a run of tough games before that where they didn't pick up any points and I cannot see them stopping a United side with something to prove.
That cup defeat by Chelsea means that, when Everton boss Moyes celebrates his 10th anniversary as manager in March, he will have completed a decade in charge without winning a trophy.
In the 1980s that would have been seen as a disappointing record but a lot has changed since then. Take away the top six in the Premier League, and you could say that success for the rest is about staying up.
Money rules football and currently it is almost impossible for Everton to compete with the leading clubs financially. For them to consistently be in that group between the bottom 10 and the top six is an achievement, and for Moyes to have managed four top six finishes in that time is outstanding.
Moyes has made very few bad buys, brings young players through and has constructed a strong squad. I cannot understand why some Everton fans criticise him.
Prediction: 1-2 Chelsea v Arsenal (1245 BST)
Chelsea have had lots to deal with this week, from the allegations that John Terry racially abused QPR defender Anton Ferdinand to the vote over who should own the freehold of Stamford Bridge, and the Terry situation is the one which is more likely to have an impact in the dressing room.
That defeat by Rangers on Sunday after having two men sent off has made it a difficult few days but, in a strange kind of way, they still looked by far the better team at Loftus Road even with nine men. In terms of their title challenge, it is hardly a disaster either, because the only team the Blues have lost ground on at the top is Manchester City, who might feel the pressure of being front-runners for the first time.
Arsenal's defensive weakness is there for all to see and, as long as Chelsea keep Robin van Persie bottled up, I can see them running out comfortable winners.
The Gunners are a different team when Van Persie is on the pitch, but the problem with that is he is often injured. At best, I think Arsenal could finish fourth this season but I don't think they will manage it.
They are going to be in the Champions League knockout stages after Christmas and it is a big ask for them to combine that with trying to sustain their league form.
Prediction: 2-0 Man City v Wolves
Manchester City made 11 changes when these two sides met in the Carling Cup in midweek, so their boss Roberto Mancini is clearly going to reload the side that thrashed United last weekend when they meet again on Saturday - which is unlucky for Wolves manager Mick McCarthy.
I am totally on McCarthy's side in terms of his reaction to the treatment he got from fans in last week's draw with Swansea, when they chanted 'you don't know what you're doing' at him after he made changes of personnel and tactics.
He got himself out a hole by pulling that game from 0-2 to 2-2 and is very much still the man for the job at Molineux, but I cannot see him getting anything from this trip to the Etihad Stadium.
City's win at Old Trafford will have reverberated around Europe, not just the Premier League, but the only thing I would say about the 6-1 scoreline is that it was only 1-0 when United had Jonny Evans sent off and those three late goals which gave it such a resounding look were because United were still trying to get something from the game with 10 minutes left.
It is a sea-change result, no doubt about it. But just because they have won at Old Trafford and scored six goals, City have not won the league.
They are clear at the top, which is a new situation for them, so forget about the euphoria for a while because for now they just need to keep winning. I think they will beat Wolves but I think it will be much tighter than their 5-2 win in the Carling Cup.
Prediction: 3-1 Norwich v Blackburn
Norwich deserved their point against Liverpool last weekend. Although the Reds had late chances to win it, Grant Holt also had a great opportunity to put the Canaries in front when the score was 1-1.
I think Paul Lambert's side are already in the position where they feel very comfortable in the Premier League. They have gone to Chelsea, Manchester United and Liverpool this season and not been outplayed at all, apart from maybe the first 25 minutes at Anfield.
Blackburn just seem to be going from one defeat to the next at the moment, with only the odd draw thrown in, but I still think they might get something here.
As bad as Rovers have been - and they are short of quality - they are still a powerful side who give everything, which might be enough for them to get a point at Carrow Road.
Prediction: 1-1 Sunderland v Aston Villa
Sunderland had a very good win against Bolton last week, and their second-half display in particular was very, very good.
Villa, on the other hand, seem to have just started to wobble. I know Chris Herd's red card for them against West Brom has been rescinded but it was too late for them, because they lost the points.
They have made a solid start under Alex McLeish but I am just wondering whether it might be their time to have a lean spell and a bad run.
Black Cats boss Steve Bruce has been under a bit of pressure in recent weeks and, despite that victory at the Reebok, if he loses this game then that pressure is back on - that's just the way it is.
If he gets another win, the pressure stays off. The problem for Bruce is that you can trace Sunderland's bad run back to the end of last season, so he needs results to consistently improve.
Prediction: 2-1 Swansea v Bolton
After winning at Wigan, Bolton must have thought they would roll over Sunderland last week but they were extremely average against the Black Cats.
Is Bolton boss Owen Coyle running out of time to turn things round? Well, his side have conceded far too many goals at home but they have also had some tough games at the Reebok - three of their five defeats have come against Manchester City, Manchester United and Chelsea.
He has to start picking points up now, though, but that will be easier said than done in Wales at the weekend.
Swansea are unbeaten at home and have been playing well. Yes, they were two goals up against Wolves and should have got their first away win of the season last weekend but at least they still picked up their first point on the road.
Prediction: 2-1 Wigan v Fulham
Fulham were extremely unlucky not to get anything from their game against Everton last week - Bobby Zamora's missed chance when the score was 1-1 turned out to be massive.
Wigan were unfortunate too. They fought and played really well against Newcastle and thoroughly deserved to get something at St James' Park - but didn't, again.
This is what Wigan do. They have a few bad results and poor performances and you think they are in big trouble but then they come up with a really strong display. They just need to get used to being either in the relegation zone or just above it this season, and make sure they pick up points when they do play well.
Prediction: 2-0 West Brom v Liverpool (1730 BST)
I think it might be Liverpool's turn to go to The Hawthorns and win.
I know the Baggies beat them at the end of last season, which was great for West Brom boss Roy Hodgson after Liverpool had sacked him earlier in the campaign, but Liverpool have improved a lot since then, and they are still making progress.
Because the Reds have got more quality in their squad now, they can chop and change their team to try various options and that does make a difference. West Brom under Hodgson are very well organised and difficult to break down but I can see them being edged out here.
Liverpool manager Kenny Dalglish complained after their draw with Norwich that Luis Suarez gets a raw deal from referees but I just think Suarez has to be careful with some of his behaviour.
He reminds me a little bit of Didier Drogba when he first came to Chelsea and was falling over at every available opportunity. Drogba's team-mates sorted him out and I would hope the Liverpool players sort out Suarez too.
SUNDAY Tottenham v QPR (1600 BST)
QPR's win over Chelsea last week was massive for them - they need to keep picking up points - and they have bounced back pretty well since being hammered 6-0 by Fulham at the start of October, as you would expect with the way their manager Neil Warnock is.
But Tottenham are on a good run, playing great football and they will be far too strong for Rangers in midfield.
Spurs are my favourites for fourth place. They have competition for places and reinforcements, which is exactly what you want. They always look capable of scoring goals too.
MONDAY Stoke v Newcastle (2000 BST)
Stoke have been playing well enough but they have only won one Premier League game since the start of September and they need to change that as quickly as possible, especially because they are back in the Europa League next week and they have struggled immediately after playing in that competition.
As good as Newcastle have been defensively this season, this is a completely different and thorough test of their capabilities at the back and one that I don't think they are going to pass.
It has been a great start to the season for the Magpies, who have done really, really well, but I think it will end here. I don't think Alan Pardew's side will just fall away after this, though. There is a bit of resistance in that team and they are made of sterner stuff than that.
Lawro was speaking to BBC Sport's Chris Bevan.