Arsenal face a potentially tricky away trip to either Southampton or Norwich City.
Holders Manchester United and Premier League leaders Chelsea were both handed favourable home draws on Monday against second-tier opposition in the fourth round of the FA Cup.
United host nearby Wigan Athletic, the 2012-13 FA Cup winners, at Old Trafford while Chelsea will also be strong favourites to go through when they play Brentford at Stamford Bridge in a west London derby.
Wigan are just one place off the foot of the Championship and in a relegation battle. Brentford are mid-table.
If Plymouth Argyle can pull off a shock in their home replay with Liverpool their reward will be a home tie with Wolverhampton Wanderers, also of the Championship.
Manchester City travel to either Bolton or Crystal Palace and local pride will be at stake when Derby host Premier League champions Leicester City.
Tottenham Hotspur will expect to beat Wycombe Wanderers, of the fourth tier, at White Hart Lane, but Arsenal face a potentially tricky away trip to either Southampton or Norwich City.
Sutton United, the lowest-ranked team left in the competition, will play home to Cambridge or Leeds if they win their replay against AFC Wimbledon.
The ties will take place January 27-30.
Draw for the fourth round of the FA Cup:
Tottenham v Wycombe
Derby v Leicester
Oxford v Birmingham or Newcastle
Sutton or AFC Wimbledon v Cambridge or Leeds
Liverpool or Plymouth v Wolves
Southampton or Norwich v Arsenal
Ipswich or Lincoln v Brighton
Chelsea v Brentford
Manchester United v Wigan
Millwall v Watford
Rochdale v Huddersfield
Sunderland or Burnley v Bristol City or Fleetwood
Blackburn v Barnsley or Blackpool
Fulham v Hull
Middlesbrough v Accrington Stanley
Bolton or Crystal Palace v Manchester City
Matches to be played January 27-30