The French paper claims that Cabaye's addition could hurt Adrien Rabiot's first-team chances.
And with the 18-year-old out of contract at the end of next season and closely followed by Chelsea and Spurs, he could be forced to look elsewhere for first-team football.
PSG boss Laurent Blanc reiterated after the signing of Cabaye that it did not necessarily mean the end for Rabiot.
"Since the beginning of the season, Adrien has served his purpose very well. Adrien has been a pleasant surprise," said Blanc.
"He may think he will play less with the arrival of Yohan Cabaye, as you say. But he may also think that he is better than Yohan and he can play too."
The teenage midfielder has to deal with fierce competition for places at the Parc des Princes. Mario Verratti, Thiago Motta, Blaise Matuidi and now Cabaye all occupy similar positions, squeezing out Rabiot.
Chelsea and Spurs have both been long-term admirers of Rabiot, who previously spent time with Manchester City.
Tottenham and Stamford Bridge scouts have reportedly been attendance on a few occasions this season in Paris.