The Manchester City legend is yet to collect his first point and also suffered an injury in the second-half of Friday's defeat.
After the 1-0 reverse, Kompany posted to social media: "We don't believe in the hype, we don't believe in drama. We're in the process.
“We continue to bring good football with a young, but talented team. But, no results, so no apologies.
"We can do nothing but continue to work hard. We have faith in the youth."
“It looks like we will have to miss him at least one or two matches. Only after a thorough investigation will we know more."