Restrict WooCommerce Shop Page

Hello,

I have installed the Woocommerce Plugin and the WP-Members Plugin. The Shop is a part of my website, not the only purpose of it. I want the visitors to register themselves first, before they are able to see the shop. All the pages from woocommerce are set as “restricted”, so it requires a login before being able to see them. That works fine for all pages like the cart and so on, but not for the main shop-page. Although it is marked as restricted, you can go on that page, see all the listed products, even look at the products and only when you put one in your cart and want to see the cart it asks for the registration…which of course is a very bad user experience.

I have looked through all the settings and tried various things but was not able to restrict the shop-page…what would be the way to do it?

Thank you very much for your help in advance and greetings from germany
Zorus