BERLIN—Russians hoping to flee President Vladimir Putin’s mass mobilization of civilians are facing a cold shoulder from the country’s European Union neighbors, who say they won’t roll out the welcome mat. Poland, Estonia, Latvia and Lithuania, which all share land borders with Russia, have swiftly and collectively ruled out expanding their asylum categories to allow Russians fleeing mobilization to enter their territory. Officials from Poland and the Baltic states said in interviews they wouldn’t compromise their internal security by extending that welcome to the vast number of Russians who could potentially qualify. Those governments also hold little sympathy for Russian citizens who can’t demonstrate a longstanding opposition to their country’s incursions into Georgia, Crimea and other military interventions.

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