Steve Walsh (left) in his previous role as Leicester City assistant boss
Glover, who worked with England manager Sam Allardyce at Blackburn Rovers and West Ham United, followed the 61-year-old to Wearside in December last year after a spell at Leeds United.
Allardyce reunited with Glover at Sunderland
However, his time in the north east was short-lived, with his exit confirmed upon Allardyce's appointment by the Football Association last month.
Glover, a Bury native, is reportedly wanted by new Everton director of football Steve Walsh as the club's head of scouting.
Another former PE teacher, Glover was involved in Sunderland's productive January recruitment drive, which saw Bayern Munich man Jan Kirchhoff and French-based pair Lamine Kone and Wahbi Khazri head to the Stadium of Light.
Everton target Kone scores against the Toffees for Sunderland
All three were instrumental in the Mackems' survival push, during which time Kone was able to catch Everton's eye.
According to the Mirror, Sunderland have this week increased their asking price for the Ivorian to £20 million, though having Glover on board may improve the Toffees' chances of securing their man.
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