Andriy Yarmolenko will collect his family from Poland after they fled their native Ukraine, his compatriot Andriy Shevchenko has claimed.
The winger, 32, has not played for West Ham since Russian president Vladimir Putin invaded his homeland last Thursday.
The club have handed him a period of compassionate leave, so he missed Sunday's Premier League victory over Wolves and Wednesday's FA Cup defeat by Southampton.
Yarmolenko is among the Ukrainian players to release an impassioned video calling for opposition to Russia in the wake of their act of aggression in Eastern Europe.
The United Nations reports the invasion has prompted 500,000 people to flee their homes, with Yarmolenko's wife and one of his children among those displaced by the war.
That is according to Shevchenko, who has a strong bond with his former international teammate, whom he also managed in the Ukraine set-up.
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"Yarmolenko has got his situation also… his wife was with one of his children in Ukraine, just crossed the border – she is in Poland now," Shevchenko told Sky Sports News.
"Andriy I think is flying now to Poland to get his wife. I'm not sure but I know his wife, I think she is now across the border and she is probably coming here.
"I know how difficult it is for him – it's a stressful time when his family are there.
"I can't even concentrate. I just look at the news at what's going on a little bit. I can't watch even a football game."
West Ham have not confirmed Yarmolenko has left the United Kingdom to collect his family but manager David Moyes explained how they are supporting him in the midst of a "really difficult situation".
Discussing the former Borussia Dortmund ace on Tuesday, Moyes said: "Obviously, he's really, really upset with the whole situation, which many people are, especially people from Ukraine, so we won't rush him.
"I've asked him to come in today and see how he feels. If he feels fine and up to it, he'll travel with the team. If he doesn't, we'll give him some more days off.
"It's a daily, ongoing thing. Things can change very quickly, but we'll give him the chance to go with his own feelings.
"He's got lots of family members and friends in Ukraine, and he's worried for everybody. He realises the difficulty that's going on and he's a long way away and can't do a lot about it. He's upset, the boy, and quite rightly so."
If Yarmolenko has travelled to Poland as Shevchenko claims, it appears highly unlikely he will be available to face Liverpool in the Premier League on Saturday evening.
