Croatian midfielder Ivan Perisic could sign for Manchester United.
The 29-year-old was a long-standing target of former boss Jose Mourinho, however, Woodward believed the asking price was high for a layer of his age.
According to Tuttosport, the Nerazzurri may look to sell him as they bid for his compatriot.
Inter did want £50m for the midfielder, however, may drop the price to around £30m.