The shot stopper has gotten his chances to shine this season, largely due to Ederson injuries.
With the Brazilian out for the rest of the season, Ortega will start the FA Cup final days after lifting the Premier League trophy.
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Speaking on the pitch to Sky Sports Germany on Sunday, Ortega stated: "There's not many reasons that speak against staying here.
"I think I played 19 games so I'm getting my game time. I feel good here, my family feels good.
There has to be something (an offer) that's so much better (than City). And I don't see that at the moment,"