City enjoyed a great start to the Premier League season under new boss Manuel Pellegrini, romping to a 4-0 victory over the Magpies at the Etihad Stadium.
However, there was one worrying moment for City fans when Kompany had to be taken off after 71 minutes and he will need to be assessed.
But the 27-year-old tweeted later on: "Team was great, I felt great.
"Injury is a blow after all the hard work. I'll be back to that level in no time. Thanks for all the support!"