Zimling was taken to hospital after limping out of Friday's training session but the sports website of Danish newspaper Berlingske Tidende reported on Saturday that a scan revealed no fracture.
The midfielder is expected to play a key role against Dutch enforcers Mark van Bommel and Nigel de Jong in their Group B clash.
The Danish Football Association was tight-lipped on Saturday, saying: "We do not provide news on a matchday".
Should Zimling be ruled out, he will most likely be replaced by Jakob Poulsen.
Get the best features, fun and footballing frolics straight to your inbox every week.
Thank you for signing up to Four Four Two. You will receive a verification email shortly.
There was a problem. Please refresh the page and try again.