However, he could be in line for a new deal and bumper pay rise after Sheffield United's promotion.
Veteran defender Phil Jagielka is also on Celtic’s radar – but is not a priority signing.
The 36-year-old was released by Everton earlier this week.
The veteran former England defender has been put to Lennon and is on a list of potential defensive options.
Celtic in George Baldock battle as shock potential free transfer target emerges for Hoops (Image: GETTY)
Celtic in George Baldock battle as shock potential free transfer target emerges for Hoops (Image: GETTY)
Celtic in George Baldock battle as shock potential free transfer target emerges for Hoops (Image: GETTY)
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Celtic haven’t ruled out a move, butExpress Sportunderstands that Jagielka would only come into play if other targets fall by the way side.
Celtic have also been linked with Charlton midfielder Joe Aribo.
Ipswich full-back Dylan Crowe and West Brom youngster Rekeem Harper are on their radar too.
Celtic go into the summer window as an attractive proposition having secured a third domestic treble on the bounce this season.