Fulham currently sit 16th in the Premier League table having won promotion from the Championship in May.
The game will be played on the week commencing Monday 29 October, with the exact date and time to be finalised in the coming days.
Ticket information will be announced once the details have been confirmed.
City won the competition for the fifth time last season after a fine 3-0 victory over Arsenal in February’s final at Wembley.
Full fourth-round draw:
CITY v Fulham
Bournemouth v Norwich
Arsenal v Blackpool
Leicester v Everton or Southampton
West Ham v Tottenham
Middlesbrough v Crystal Palace
Chelsea v Derby County
Burton Albion v Nottingham Forest