The Norwegian found his job hanging by a thread the last time his side played host to one of United's biggest rivals as they fell to a 5-0 defeat to Liverpool.
The Red Devils bounced back with a 3-0 win over Tottenham on Sunday but the clash with City will be a true test of whether they have turned a corner.
United do have a good recent Premier League record against their noisy neighbours however, having not lost in the top-flight since April 2019.
City also go into the derby having suffered a shock loss at home to Crystal Palace at the weekend.
The meeting of the two Manchester giants is always a huge occasion and talkSPORT will be at Old Trafford to bring you live and exclusive coverage of the Premier League blockbuster.
Man United v Man City: talkSPORT commentary
The Premier League derby will take place on Saturday, November 6.
Old Trafford will host the first Manchester derby of the campaign and kick-off is at 12:30pm.
talkSPORT will have live coverage of the game from 11am and Reshmin Chowdhury will be your presenter.
Commentary will then come from Sam Matterface, ex-United assistant Steve McClaren and former City star Trevor Sinclair.
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Man United v Man City: Team news
The home side are sweating on the fitness of Victor Lindelof after he was ruled out of Tuesday's Champions League game against Atalanta.
The centre-back suffered an injury in training on Monday.
Paul Pogba also won't be available, with the midfielder set to serve the second of his three game ban for his red card against Liverpool.
City, meanwhile, will also be without a suspended player after Aymeric Laporte was sent off in the 2-0 defeat to Crystal Palace on Saturday.
Ferran Torres is still nursing a foot injury picked up on international duty with Spain but teenage striker Liam Delap is available once more.
Both sides will be in Champions League action before the derby clash and any fresh injury news will come in due course.
Man United v Man City: What has been said?
Solskjaer claimed he wasn't distracted by facing City ahead of his Champions League clash against Atalanta.
He said: "We are in good position after winning home games but we need a result away too.
"All focus on this one, not been thinking about that one (Man City) at all.
"Everyone is focused, worked on recovery since Saturday night.
"Turnaround is quick but lets see who we can choose from."