The match, for a place in the final of the historic competition, has been given a 5.15pm kick-off, and will be shown live on BBC One and TNT Sports.
The club have confirmed that ticket sales information will follow on Friday, but have said that tickets will be priced between £30 and £150.
The club have been granted permission to wear the commemorative yellow kit that has been a permanent fixture of this season’s cup run.
Fans are reminded that there will be significant train disruption between Southampton Central and London Waterloo due to engineering works.
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Saints have been allocated the west end of Wembley – the same end as they had for the 2024 Championship play-off final against Leeds United.
It means Saints supporters are expected to have access to pubs such as The Green Man and JJ Moons, with a full list of venues to be confirmed later.
Saints reached the semi-final with a 2-1 win over Premier League leaders Arsenal, while Man City demolished English champions Liverpool 4-0.
Chelsea and Leeds face off in the other semi-final at 3pm on Sunday, April 26. The final is scheduled to be played on Saturday, May 16.
This is just a few days after the Championship play-off semi-final second legs, which Saints could qualify for, and one week before the play-off final.