Gareth Taylor's side travel down to Meadow Park on Wednesday 8 February, with the match set to get under way at 19:15 (UK).
We have won all five games played so far in this season's competition, scoring 18 goals while conceding none.
The Gunners beat Aston Villa 3-0 to book their spot in the last four, while we saw off Bristol City 6-0 in the quarter-finals.
You can follow comprehensive coverage of the encounter right here on mancity.com and the official Man City app.
Our Matchday Centre - getting under way at 17:45, will guide you through the action with minute-by-minute updates, stats and analysis, while the key moments can also be found on Twitter: @ManCityWomen.
A detailed match report will be available soon after the full time whistle, as well as reaction from Gareth Taylor.
Highlights and a full-match replay - exclusive to CITY+ and Recast - can be accessed from 12:00 on Thursday 9 February.
Defending champions City won the Conti Cup last season with a 3-1 win over Chelsea at Plough Lane.
It was our fourth success having also won the trophy in 2014, 2016, 2019.
The full draw is:
West Ham United v Chelsea
Arsenal v Manchester City
This year's final will be played at Crystal Palace's Selhurst Park on 5 March.