The young Brazilian made his Club debut in Tuesday night's Papa John's Trophy trip to Rotherham United, introduced from the bench as a second-half substitute.
Guardiola says it will take time for the new recruit to adapt to life in Manchester, as he looks to get to grips with a new country, culture, language and footballing style.
However, the City boss added the youngster has plenty of support around him, especially from Club captain Fernandinho, whose leadership qualities have once again shone through in his assistance and encouragement.
"He’s so young," Guardiola said of Kayky. "It's a new country - completely different than Brazil.
"He needs time - to train and settle with his family. It will be step-by-step. After, what he will show on the pitch will dictate everything.
"It depends on him but he has help from the Club. We support him and Fernandinho is helping him a lot as he always does.
"He knows the Club. He didn't come for a short period but he has to settle into the rhythms and what we want, and adapt in his development as a player.
"He's still young but he has everything to improve."
Hear more from Pep in the video above...
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