The former Arsenal player picked up a minor injury in the domestic final on Friday and will sit out of Spain's next two friendlies if he makes the squad for the Euros
The 25-year-old midfielder came on as a late substitute in Barca's 3-0 victory against Athletic Bilbao on Friday, replacing Xavi with only 10 minutes left on the clock.
Subsequent tests revealed that Fabregas has sustained a femoral biceps problem, with an estimated recovery time of seven to 10 days.
This means that the former Arsenal midfielder will miss Spain's upcoming friendlies against South Korea and China if he makes Vicente del Bosque's final Euro 2012 squad, which will be announced on Sunday.
Thiago Alcantara, who was also introduced in the final stages of the match, has a slight edema on his right leg, but his recovery time has not been estimated by the Catalan club.