The Sun reports that the Scots’ winger will undergo surgery on Thursday.
The Celts are uncertain about the timescale of the recovery, which might rule him out for the rest of the season.
The 24-year-old was stretched off straightaway after a nasty challenge was made by the Dons player, for which he later received a red card.
However, the Bhoys secured a comprehensive 3-0 win over the Dons, ensuring their place in the cup final.
Christie has been exceptional for the Park head side this season, bagging nine goals and four assists.
The Scotsman became a huge success during his loan spell with the Dons last season.
The former Inverness Caledonian Thistle player earned his maiden international call-up in 2017 and has five caps now.
He also scored in the game against St Mirren at the start of this month. Christie can operate as a winger or as an attacking midfielder.
Neil Lennon has secured six wins since taking the charge, midway through the season.
The former Hibs manager is yet to face a defeat and had an Old Firm win last month.
The Bhoys are nearing towards their eighth straight Premiership title this season, after getting 11 points clear of their arch-rivals Rangers.
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Their chances of winning a domestic treble are also high, as they are set to face Hearts in the Scottish Cup finals next month.