Ukraine have asked FIFA to postpone their World Cup play-off semi-final against Scotland, set to take place at Hampden Park in Glasgow on March 24.
Russian president Vladimir Putin ordered his country's army to invade Ukraine last Thursday, starting a horrific war in eastern Europe.
The winner of that game between Scotland and Ukraine is set to face either Wales or Austria on March 29 for a spot at this year's tournament in Qatar.
Many Ukrainian internationals play for clubs based in their homeland. The Ukrainian Premier League has been suspended until further notice amid the conflict.
Others, such as West Ham forward Andriy Yarmolenko, have been given compassionate leave by their club.
FIFA are currently working with UEFA and the Scottish Football Association to "find an appropriate solution" to Ukraine's request.
"FIFA expresses its deepest solidarity to everybody affected by what is happening in Ukraine," said a spokesperson. "A further update will be provided in due course."
The World Cup draw is scheduled to take place on April 1, although the tournament does not start until November.
Scotland nor Austria have qualified for the World Cup since 1998. Wales, meanwhile, haven't graced international football's biggest stage since 1958.
Ukraine have been FIFA members since 1992, making them eligible to qualify for the World Cup from the 1998 edition onwards. They've reached just one tournament, in 2006.
But Ukraine are regulars at the Euros, losing to England in the quarter-finals last summer. They hosted Euro 2012 alongside Poland, with the final being staged in Kyiv.
Scotland's women are also due to face Ukraine in a World Cup qualifier in Ukraine on April 8. It's unclear where that game will now be held, if it takes place.
Scottish FA president Rod Petrie wrote to the Ukrainian FA last week to offer his support.
"Football is inconsequential amid conflict," said Petrie. "But we have conveyed the strong sense of solidarity communicated to us by Scotland fans and citizens in recent days.
"[The SFA] have offered to support our Ukrainian colleagues' preparations as best we can in these unimaginably difficult circumstances.
"We remain in dialogue with UEFA and FIFA regarding our men's FIFA World Cup play-off and women's World Cup qualifier and have offered to support our Ukrainian colleagues' preparations as best we can in these unimaginably difficult circumstances.
"Should the current circumstances continue, we will not sanction the nomination of a team to participate in our scheduled UEFA Regions Cup fixture against Russia, due to be played in August.
"This will remain our position should any other fixtures arise at any level of international football."
FIFA and UEFA have banned Russian clubs and the national team amid the invasion.
Russia were set to face Poland in a World Cup play-off later this month, while Spartak Moscow had reached the last 16 of the Europa League.
FIFA were condemned after initially announcing Russia would be allowed to continue their World Cup bid under the name "Football Union of Russia".
