Apple Health to read data from Google Fit

Hello!

I'm deeply into the Apple ecosystem but I actually have a Google Nest Hub in my bedroom, which I use to track my sleep. I've installed Google Fit on my iPhone to analize the data and I synced the app with Apple Health.

By doing this, Google Fit is allowed to read everything from the Apple Health (workouts, steps, hearth rate, etc) but I can't get Apple Health to read data from Google Fit (which is sleep data, the only one I need). So, now, I can actually have more info on my Google Fit than on Apple Health.

Is there any way to solve this? Any workaround I can use?

Thank you!