Championship side Norwich will go head-to-head with Leeds as Daniel Farke returns to his former club, while giant-killers Mansfield have been drawn against Premier League leaders Arsenal.
Elsewhere, Fulham host Southampton, Sunderland visit either Port Vale or Bristol City and Liverpool travel to Wolves.
West Ham will host the winner of Monday night's clash between Macclesfield and Brentford.
The fifth round ties will be played around the weekend of the 7th and 8th March.
Full FA Cup fifth round draw
Fulham v Southampton
Port Vale or Bristol City v Sunderland
Newcastle United v Manchester City
Leeds United v Norwich City
Mansfield Town v Arsenal
Wolves v Liverpool
Wrexham v Chelsea
West Ham United v Macclesfield or Brentford