Since the end of may, I have a lot of new 404 errors in the Smartphone Crawl Errors page in Webmaster Tools / Google search console. All of them starts with /m/ or /mobile/, none of which are existing nor linked to anywhere on the site.
For example, I have a 404 error for http://www.example.com/mobile/foo-bar/ and http://www.example.com/m/foo-bar pages. According to the Search Console, those page are linked in the existing page http://www.example.com/foo-bar/, but they are not.
Is Googlebot deciding on its own to look for a mobile version of every page ? Can I disable this behavior ? Is this because my site is not mobile-friendly yet (a problem for which I received another warning message from Google).
You could block those directories in your robots.txt, but that's a bit of a workaround. The better option would be to figure out where exactly Googlebot is picking up those URLs from.
If you shared an example page URL where Google says you have links to the /mobile pages, I could look at it and figure out where that's being picked up.
And no, Google doesn't just invent directories to crawl on the off-chance that you might have snuck in a mobile page randomly :)