Hearts were unable to break through a stubborn Dumbarton defence but returned to the summit of the Scottish Championship with a 0-0 draw.
Dumbarton will be without midfielder Hugh Murray for the visit of Hearts on Scottish Championship duty.
Robbie Neilson has secured the SPFL Championship Manager of the Month award after guiding Hearts to the top of the league during his first competitive month in charge at Tynecastle.
Hearts have loaned striker Gary Oliver to Stenhousemuir until January 5.
Billy King's double helped Hearts to a 4-1 win over Falkirk as the Jambos made it four wins from four games to consolidate their position at the top of the Scottish Championship.
Hearts duo Jordan McGhee and James Keatings are both set to face Falkirk in Saturday's Scottish Championship clash at Tynecastle.
The draw for the third round of the Scottish League Cup has served up Dundee and Lanarkshire derbies.
Hearts maintained their unbeaten start to the season with a 2-1 victory over Stenhousemuir in the League Cup.