The 27 year old now needs to pass a medical after Sevilla confirmed that they have accepted an offer for the player.
Navas would become the first signing of manager-elect Manuel Pellegrini at the Etihad Stadium.
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Who of Europe’s top strikers will move to England this summer?
After a dreadful start to their Bundesliga campaign, Borussia Dortmund appear to have weathered the storm after going five matches without defeat.