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The decision was taken to rearrange the game for Wednesday afternoon following a pitch inspection on Tuesday after an evening of torrential rain.
The Warsaw stadium has a retractable roof, but a Polish FA spokesperson said neither of the team representatives nor the FIFA delegate wanted to make the decision to close it.
"None of the sides wanted such a solution," said Agnieszka Olejkowska. "We knew there would be heavy rain but we could not 100 percent predict the downpour."
With rain still falling heavily at the scheduled kick-off time (19:00GMT), Olejkowska said it was not possible to close the roof.
"We have a heating system which, if we close the roof, can dry the pitch in 30 minutes," she said.