Hearts beat Alloa 1-0 at Recreation Park on Saturday to go nine points clear in the Championship.
The leaders were pushed all the way by Barry Smith's side but Adam Eckersley broke the deadlock direct from a free-kick with five minutes remaining.
In Saturday's other Championship game, Dumbarton extended their unbeaten run to six matches by holding Hibernian to a 0-0 draw at Easter Road.
Sons keeper Danny Rogers, on loan from Aberdeen, saved a first-half penalty from Dominique Malonga to keep Ian Murray's men a point behind Hibs.
