The McLaren driver sat out the season-opening Australian Grand Prix after suffering a concussion in a crash during pre-season testing.
Both Alonso and McLaren have spoken of their belief that the Spaniard will be cleared to race, but the FIA will have the final say regarding his fitness.
The 33-year-old will head to Cambridge University on Sunday for the first test where he will be examined by three FIA-appointed doctors.
Should Alonso pass Sunday's test he will head to Malaysia where the remaining tests will be conducted. Once in Malaysia, medical delegate of the FIA, Jean-Charles Piette, will conduct reaction and cognitive tests and compare the results to readings from when Alonso had previously done the tests. Finally, Alonso will be checked out by a doctor at the Sepang International Circuit.