This is due to the rescheduled African Cup of Nations.
Cyriel Dessers, Mohamed Diomande, Hamza Igamane, and Nasser Djiga could miss important away games against Celtic, Aberdeen, and Hearts.
The tournament, usually played in January and February, will now take place in December and January in Morocco.
FIFA changed the dates because of the new format of the Champions League, which has crucial league stage games in late January.
The initial plan to hold the African Cup of Nations this summer was scrapped after the Club World Cup was expanded and scheduled for the same period.
As a result, the tournament is now set to clash with the festive period, posing a challenge for Rangers.
Dessers, Diomande, Igamane, and Djiga are expected to represent Nigeria, Ivory Coast, Morocco, and Burkina Faso respectively at the tournament, with all four countries having qualified.
FIFA has yet to announce the minimum period clubs must release their players for, but it could potentially see the quartet missing five league games and a Scottish Cup tie.
This includes three of their most challenging away trips of the season to Celtic, Aberdeen, and Hearts, with the Old Firm game on January 3.
They could also miss home games against Motherwell and St Mirren, depending on how far they progress in the tournament.
This is the seventh African Cup of Nations in a row to not go ahead as originally scheduled, due to various reasons like instability in Libya, an Ebola outbreak, delays in stadium construction, Covid, and the rainy season.
The new schedule poses a significant challenge for Ibrox boss Russell Martin.