SameSite Flag against CSRF

I was wondering if the SameSite flag on the session cookie was enough of a protection against CSRF attacks.
I see CSRF token solution everywhere, but I am not sure about the need to use a CSRF token if the cookie used for authentication is already protected by the SameSite flag (in Strict mode).
On top of that, if I understood it well, tho cookie would still be sent along with subdomain URLs like api.myapp.com which would be perfect for my needs.