The Sunday Mirror says it is the second season running that Evra has voted for Suarez.
A dressing-room insider at Old Trafford said: "Suarez is an outstanding footballer, but no-one at United could believe it when Patrice voted for him.
"It shows the measure of the man that he didn't allow what happened between them to cloud his judgement.
"He clearly doesn't bear a grudge."
Suarez is favourite to lift the award at a gala dinner in London on April 27.
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