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A bid has been lodged for Gills’ former skipper Adam Barrett.
Gillingham boss Peter Taylor was keeping the identity of the club to himself but the offer is now being considered by the player.
Barrett was transfer listed a week ago after Taylor felt he was unable to offer the 34-year-old centre-back a regular place in his team.
Taylor said: “Someone has rung to say they would like him on loan and I have put that to Adam and we are just thinking about it at the moment.”
The length of the deal is likely to be for three months but nothing has yet been agreed.
Barrett was left out of the games at Faversham and Dover last Tuesday but was back in the team to face Ebbsfleet on Saturday.
At the weekend Taylor insisted the player, who captained the Gills to the League 2 title, was still available for selection.
Barrett has played 95 games for the Gills and missed just one game last season but during the summer Taylor has added central defenders Kortney Hause and John Egan to his ranks.
Elsewhere, Southern Counties East side Greenwich Borough have snapped up free agent Gary Borrowdale.
The left-back spent the summer training with the Gills but failed to earn a contract.
Ambitious Greenwich attempted to sign Edgar Davids earlier this summer and recently recruited former Leyton Orient and Millwall striker Gary Alexander.