The 2022 Winter Olympics are expected to be held in February, with Beijing and Almaty, Kazakhstan, the only candidate cities bidding for the games.
"A clash would be bad for the international audience who would have two major sports programs broadcast worldwide, so the public's attention would be divided," Bach said. "The athletes and the players would not get the attention they deserve, and for all the other sponsors and broadcasters being involved it would be very, very difficult to manage. It's in the mutual interest that this is not happening and we have this commitment."
FIFA's panel studying 2022 options meets again in about two months.
UEFA is among several continental soccer confederations who are pushing for the January-February option, and Platini indicated last month that the World Cup's interests should come first.
"(FIFA) don't want to clash with the Olympic Committee but the rest of the world wants to find the best solution for the football," he said.