The 20-year-old is entering the final year of his contract at the Caledonian Stadium and Inverness are bracing themselves for interest in the talented midfielder before the close of the transfer window.
Christie, the son of Inverness legend Charlie, has come through the youth ranks with the Highlands outfit and helped the club win the Scottish Cup last season.
Christie is regarded as one of the best young talents to emerge north of the border in recent years and he has been tipped to win a call-up to the senior Scotland squad after impressing for the Under-21s in the last 12 months.
The creative midfielder has started the new season in fine style, scoring in last weekend's draw with St Johnstone, and scouts from England are keeping tabs on his progress.
Swansea have actively been scouring the Scottish market in recent times as they look to land the country's best young talent and Christie has emerged on their radar, while Burnley and Fulham are long-term admirers of the youngest and they could test Inverness' resolve to keep hold of the player.
Inverness are reluctant to lose their prized asset, but know they with his contract having just a year left to run, they would find it hard to turn down an offer in the region of £600,000 for Christie.