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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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.