Hello Edwin,
this is just to inform you and other users about a possible issue with the new com_fields in multisites environments.
I made the update to 3.7 on the master site yesterday and went through all slave sites to "fix the database changes" (this is what I always do in Joomla updates).
However, the new com_fields core component seems not to get installed in this setting.
in order to solve this (on master and all slave sites), follow this description from GITHUB
github.com/joomla/joomla-cms/issues/15401
To fix it, go to Extensions/Manage/Discover.
Click on "discover" button, enter "fields" in search edit and select all extensions it shows, then click on "Install" button.
Hope it helps,
kind regards
Ruediger