Iphone notifications turning on the display of the iphone (with garmin on my wrist)

With garmin on, notification turning on the display on the iphone also. With apple watch, iphone kept the screen off, because it knows if i have apple watch on my wrist. With garmin on my wrist, notifications vibrates on my watch, but also my iphone lights the display on. Is it cause iphone doesnt know i have garmin on my wrist, hence the notifications are shown? Is there a way to have it functioning as with apple watch?