The Red Devils appear to be on the right path with recent wins against Newcastle (4-1) and PSG (2-1), but a 6-1 home humbling against Tottenham set alarm bells ringing for the club.
As for Chelsea, Lampard spent big in the summer but the defence has yet to convince - though a goalless stalemate against Sevilla in midweek was a step in the right direction.
Date, time and venue
Manchester United vs Chelsea is scheduled for a 5:30pm BST kick-off today (Saturday, October 24).
The match will be behind closed doors at Old Trafford with no fans due to be present due to government guidelines regarding coronavirus.
How to watch
TV channel: Manchester United vs Chelsea will be shown live on Sky Sports' Main Event, and is available via Now TV.
Eric Bailly is unavailable after being ruled out for four weeks, while Anthony Martial is still suspended after his red card against Spurs.
Harry Maguire missed United's win in Paris, so Solskjaer could persist with a back three of Axel Tuanzebe, Victor Lindelof and Luke Shaw - especially as Phil Jones is not in United's Premier League squad.
Edinson Cavani is in contention for his debut along with Mason Greenwood, while Jesse Lingard is a doubt.
Chelsea are without Kepa Arrizabalaga due to a shoulder injury, meaning Willy Caballero will back-up first-choice goalkeeper Edouard Mendy.
Lampard otherwise has a clean bill of health for today's match.
Prediction: Man United 1-1 Chelsea
Given neither sides' defence has been particularly impressive this season, it wouldn't be a surprise to see both managers look to keep things tight in the early stages.
If an early goal does go in, the game could open up with two of the most promising attacks in the top flight - but a battling draw is more likely at this point.
Alan Smith's verdict
Two games, two clean sheets. It has been a very solid start for Edouard Mendy, a man forced to claim unemployment support only six years ago.
Watching him against Sevilla the other night, it’s clear that Chelsea’s new goalkeeper lends a bit of reassurance to his defenders with good decision making and clean ball handling.
Those defenders have been badly in need of that. Now we wait to see if those improvements can be transferred to Old Trafford, where Marcus Rashford and his team-mates should offer a stiff test.
Head to head (h2h) history and results
Of the 56 Premier League meetings between the sides, Chelsea edge it with 18 wins to United's 17, along with 21 draws.
United beat Chelsea twice in the League last term - 4-0 at home and 2-0 away - though the Blues won the latest game as they downed United 3-1 at Wembley in the FA Cup semi-finals in July.
Betting odds and tips (subject to change)
Man United to win: 13/8
Chelsea to win: 9/5
Draw: Between 13/5 & 11/4
Odds courtesy of Betfair Exchange.
We may earn commission from some of the links in this article, but we never allow this to influence our content. This revenue helps to fund journalism across The Evening Standard.
This weekend get a £10 free bet with Betfair, when you bet £10 on a Same Game Multi on the Premier League.Terms: Min £10 Same Game Multi bet on any EPL match this Fri - Sun. Free bet valid for 72 hours, awarded at bet settlement. Excludes cashed out bets. T&Cs apply.