The 58-year-old resigned as boss of the Blades this week following their relegation from the Barclays Premiership and has expressed a determination to return to work sooner rather than later, and could be tempted by an offer from Scotland.
Warnock told Record PM: "I love Edinburgh and I enjoy going up there. My wife would love me to go up there and if Hearts came looking for a manager then that is something that would interest me."
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