The England Under-21 striker is expected to join Wigan on loan.
Coyle said: “I’d be very surprised if that’s not concluded in the next day.
“I spoke again with (United manager) David (Moyes) yesterday just before they were flying off to Germany. We’re both happy in terms of how it proceeds from a football perspective.
“The paperwork is there to be signed, whether that’s today or tomorrow morning. I don’t want to get ahead of myself but we’re confident that will certainly happen.”
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?