Sergio Perez left the Princess Grace hospital on Monday but he remains in Monaco.
He spent two nights under observation following his high speed Monaco crash but was discharged on Monday reportedly with some leg and neck pain and a headache.
The 21-year-old is targeting a return to his Sauber cockpit in Canada in less than two weeks, but an obstacle could be concussion that was severe enough to affect his memory of the accident.
Italy's La Gazzetta dello Sport reports that Perez must stay in the Principality this week.
"Now I have to stay here for two or three days to recover fully," confirmed Perez, who lives in Berlin.
I see no reason why I should not be there
"I took quite a blow to the head, and now it's still not the moment to fly. I plan to relax here in the hotel, take all the time needed and start to live normally again," he added.
Perez insists, however, that he will be back up to speed in Montreal.
"There is no problem for Canada. It is the main objective and I see no reason why I should not be there."