Core i3 3220 with GTX 1060 bottleneck

Oct 8, 2014
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Im planning to buy the GTX 1060 but right now my Pc is using the Core i3 3220(Will be getting the Core i5 6400)
So,how bad will the Bottleneck be..im hoping for the meantime i can play top graphic games like
The Witcher 3,Rise Of The Tomb Raider,Crysis 3,Asassins Creed Syndicate/Unity,GTA 5,Deus Ex Mankind Divided and more at 1080p Ultra with 30-40fps i dont mind if it cant achieve 60fps just above 30fps is fine.

So guys Is it possible to achieve those framerate with this setup and Is there any harm when my gpu is bottlenecked or its just cant be used to its full potential...Thanks anyone that help