Holders Celtic beat Hearts 2-1 at Tynecastle on Wednesday night to clinch a place in the semi-finals of the Scottish League Cup, presented by Utilita.
Leigh Griffiths broke the deadlock with a fine goal after 71 minutes then set up substitute Tom Rogic for the second 10 minutes later.
Arnaud Djoum pulled one back with a stoppage-time header following a corner but it wasn't enough for Robbie Neilson's team.
Ronny Deila's men join Ross County, St Johnstone and Hibernian or Dundee United - who meet at Easter Road next Wednesday - in the draw for the last four on Monday November 9 at 2.00pm.