Lyon have won just one Ligue 1 game all season and find themselves rooted to the bottom of the table and six points adrift of safety.
The club are already on their third manager of the campaign with Pierre Sage being put in interim charge after parting ways with Laurent Blanc in September and Fabio Grosso last week.
With Lyon staring down the very real prospect of relegation, the French giants may be unable to shake off a huge potential problem at the end of the season.
Should Lyon climb up to 16th in the table they will still need to run the gauntlet of a relegation/promotion play-off.
The date of the tie would be on Sunday June 2 and would be played at Lyon's 60,000-seater Groupama Stadium against the team who win the Ligue 2 promotion play-offs.
However, pop star Swift has sold out concerts at the venue on the Sunday and on Monday June 3.
That means Lyon may be forced to play the game at a neutral venue which would not help their safety prospects.
Lyon bosses pencilled in the gigs not expecting to be involved in a relegation dogfight.
But this move could have massive repercussions for a club which competed in the Champions League semi-finals only three seasons ago.
Lyon have the likes of ex-Arsenal star Alexandre Lacazette and former Liverpool ace Dejan Lovren in their ranks.
Their sole win so far this season came against Rennes in November.
Lyon have not played in France's second tier since 1989.