The 26-year-old only has four more months remaining on his contract with Celtic and has been heavily linked with a move away from the club this summer.
Southampton have been credited with an interest in signing Christie this summer, with Ralph Hasenhuttl’s side said to be lining up a cut-price deal for the Scot.
While the Saints could step up their interest in the Scotland international if Stuart Armstrong leaves, they are also prepared to wait until he becomes a free agent.
Christie could sign a pre-contract with one of his suitors and join on a free transfer in January, but he does not want to risk being frozen out by Celtic.
Apart from Southampton, the former Aberdeen loan star has also attracted transfer interest from Burnley and Championship club Sheffield United.
Burnley and Sheffield United, though, do not view the attacker as a top target as he is further down their transfer wish list.
With only ten more days remaining in the transfer window, it remains to be seen where the future lies for Christie, who has made seven appearances for Celtic this season.