BBC Scotland will also have online highlights that night of Brechin City's game against the winners of the St Johnstone against Partick Thistle tie.
Highlights of all ties, including Dundee United v Motherwell and Inverness v Celtic or Rangers, will be on Sportscene and online on 13 March.
Scottish Cup quarter-final ties:
Saturday, 12 March
St Mirren v Abereen - 1215 GMT - Live, BBC One Scotland from 1210 Brechin City v St Johnstone or Partick Thistle - 1500
Sunday, 13 March
Dundee United v Motherwell - 1315 Inverness Caledonian Thistle v Rangers or Celtic - 1530
Source: BBC Sport
Source: BBC Sport