Copenhagen moved to within three points of SAS-Liga leaders Odense with a 2-0 win at Koge.
Esbjerg slip to third despite a late fightback at Silkeborg. The home side led 2-0 after 81 minutes thanks to goals from Christian Holst and Rajko Lekic.
But Jesper Jorgensen pulled one back after 86 minutes and Fredrik Bjorck netted a last-gasp equaliser.
Rock-bottom Randers are still winless, but can take heart from a 1-1 draw at AaB while Brondby and Midtjylland also played out a 1-1 draw.