Guardiola is optimistic that the midfielder would decide to stay after winning match of the match in the FA Cup final.
At Wembley, City defeated Manchester United 2-1 thanks to two goals from Gundogan.
In the summer, his deal with the Premier League champions is slated to expire.
He is aware of my opinions. We are neighbours and share a floor, so perhaps some of you are aware that he has been a close friend of mine for a long time.
"He performed superbly. Hopefully, we can get things done successfully. Txiki [Begiristain], the football director, is still working on the agreement. He's had a good season, according to Guardiola.