The conflict between pro-Russian separatists and the Ukraine government came to a head last week with the downing of a Malaysian Airlines passenger plane, leading to the deaths of 298 people.
Moscow denies supporting the separatists, but following the disaster senior German lawmakers raised the possibility of stripping Russia of the hosting rights to the World Cup.
On Friday, FIFA issued a statement saying it "deplores any form of violence" and questioning the purpose of relocating the sport's showcase tournament.
"History has shown so far that boycotting sport events or a policy of isolation or confrontation are not the most effective ways to solve problems," FIFA said, adding that global attention on the World Cup "can be a powerful catalyst for constructive dialogue between people and governments."