Celtic could face League Cup semi-final opponents Aberdeen after the draw was made for the last four of the Scottish Cup.
Neil Lennon's side will face the winners of the Aberdeen-St Mirren replay, to be played at Pittodrie on Wednesday, if they beat Inverness in their rearranged game on the same night. Celtic beat Aberdeen 4-1 in January to reach the final of the League Cup.
With all eight quarter-finalists in the hat, there were more questions than answers following the draw, with Dundee United or Motherwell facing either Brechin or St Johnstone in the other tie. St Johnstone and Brechin will replay at McDiarmid Park next Tuesday following their 2-2 draw, the same scoreline shared by United and Motherwell.
The Fir Park replay has been confirmed for 29 March, although both clubs may yet seek a new date given the match falls two days after Scotland face Brazil, and on another international date. Celtic's tie with Inverness was postponed early Sunday morning due to a waterlogged pitch. All semi-final ties will be played on the weekend of 16-17 April.