Queen's Park moved four points clear at the top of the cinch Championship thanks to a 2-0 win over second-placed Ayr United on Friday night.
Dom Thomas opened the scoring from the penalty spot in 59 minutes and a Nick McAllister own goal with 13 minutes left sealed the victory for Owen Coyle's men.
Dundee, who are in third place in the table, take on bottom club Hamilton Accies at New Douglas Park on Saturday.
