The West Yorkshire outfit will be without Luke Ayling for the rest of the season due to a serious ankle injury.
Gaetano Berardi will probably now feature as a right-back, but the Championship club could do with another body in that department.
Coyle is a talented and promising young right-back, but the 22-year-old is on loan at Fleetwood at the moment.
The youngster joined Uwe Rosler’s League One outfit on a season-long loan deal in the summer of 2017.
Leeds head coach Christiansen has said that he has not yet discussed recalling Coyle from his loan spell at Fleetwood, but he has suggested that he will speak to the club’s director of football, Victor Orta, about it.
Christiansen told Leeds Live when asked about recalling Coyle from Fleetwood: “No we haven't at the moment. We would have to talk to Victor (director of football, Victor Orta).”
Leeds will return to action on Saturday afternoon when they take on Ipswich Town away from home in the Championship.