The Australian only joined the Jambos during the summer after leaving Partick Thistle following the Jags’ relegation, but is yet to make a competitive appearance for the first team.
And STV is reporting that the Buddies - managed by former Hibs boss Alan Stubbs - are keen to recruit the 24-year-old.
Hearts made their 15th signing of the summer this evening, confirming a season-long loan deal for Demetri Mitchell; the Manchester United youngster returning after a spell at the club in the second half of last term.
Another summer acquisition, Bobby Burns, has joined Livingston on a season-long loan deal but Edwards could join him in leaving Tynecastle.
The Paisley side lost 2-0 to fellow promoted side Livingston at home last weekend.