The Highland derby in the League Cup quarter-finals will be shown live on BBC Scotland on Tuesday October 27, kick-off 7.05pm.
Ross County and Inverness CT meet in Dingwall in the Ladbrokes Premiership on Saturday but it's Caley Thistle who have home advantage in the cup tie.
Morton's meeting with St Johnstone at Cappielow goes ahead on the same night, with Hearts v Celtic at Tynecastle on Wednesday October 28.
With both Hearts and Hibernian drawn at home, and their opponents Celtic and Dundee United playing on Sunday October 25, Hibs' meeting with Dundee United at Easter Road will take place on Wednesday November 4 to avoid a fixture clash.
League Cup quarter-final details
Tuesday October 27
Inverness CT v Ross County - kick-off, 7.05pm (Live on BBC Scotland)
Morton v St Johnstone - kick-off 7.45pm
Wednesday October 28
Hearts v Celtic - kick-off 7.45pm
Wednesday November 4
Hibernian v Dundee United - kick-off 7.45pm