The Barcelona midfielder suffered a hamstring injury in the club's 3-0 Copa del Rey final triumph over Athletic Bilbao last month.
But Spain coach Vicente Del Bosque has played down concerns over the 25-year-old ahead of La Furia Roja's last warm-up match against China on Sunday.
"They did some tests yesterday [Friday] and the doctors saw that he (Fabregas) is in reasonably good shape," said Del Bosque on Saturday.
"He will rejoin the rest of his team mates in training at some point and, possibly, be ready for the 10th."
Xavi is another Barcelona midfielder in the Spain squad who has had to shake off an injury problem.
The 32-year-old was a key figure in his country's triumphs at Euro 2008 and the 2010 World Cup but has been troubled by a persistent calf injury.
But Xavi insists he is feeling good and targeting a third consecutive tournament triumph with Spain.
"I am in very good shape and very pleased, excited and physically fine," he said on Saturday.
"Yesterday [Friday] I trained for the first time, I played the Copa del Rey final, and I was already feeling good at Real Betis on the final day of the La Liga season.
"I am ready to compete and to make history again with the national team."