Dundee United may also be interested in Webster, who performed well for them on loan last season.
The Tannadice club rejected a proposed swap for the defender on Monday, with Rangers keen on taking winger Craig Conway to Ibrox.
Webster left Tynecastle under a cloud when he became the first European player to use a legal loophole to serve notice of his intention to leave the club at the end of the third year of a four-year contract.
But Jefferies added: "It's not about what happened in the past, it's about the future.
"He's a quality player who would improve us. If we are fortunate enough to get him back here he'll be a good signing and the owner recognises that."
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