Dundee United's reward for knocking Rangers out of the Scottish Cup was to be given a home quarter-final gainst Celtic, the other half of the 'Old Firm', on Monday.
For Cup holders Celtic it is a third straight away tie after wins at Peterhead and Inverness Caledonian Thistle.
But in United they will face a side full of confidence following a 2-0 win over Rangers on Sunday.
Peter Houston's side are currently seventh in the Scottish Premier League but have finished fourth and third in the last two seasons.
A couple of other all SPL ties are possible, with Aberdeen playing Motherwell if the Dons see off First Division Queen of the South in a replay and St Mirren, if they win a replay against Ross County, facing either Hearts or St Johnstone.
Hibernian travel to Ayr United or Falkirk, who will play their fifth-round tie on February 15 after Saturday's match was postponed because the pitch was unplayable.
The three fifth-round replays will be played a day earlier on February 14, with the quarter-finals staged on the weekend of March 10-11.
Scottish Cup quarter-final draw
Hearts or St Johnstone v St Mirren or Ross County
Ayr United or Falkirk v Hibernian
Dundee United v Celtic
Motherwell v Aberdeen or Queen of the South
Ties to be played on the weekend of March 10-11.
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