How to check/verify Git repository which uses submodules?

Question

It seems that

git fsck

doesn't check any submodules (that is, verify that submodules do not have corrupted files). Seeing that

git fsck --recursive

is not not supported either. What's the correct way to check the whole repository hierarchy?

The best I can think of would be

git fsck --no-dangling --full && git submodule foreach --recursive git fsck --no-dangling --full && echo OK

but is that enough and can we have something simpler?