I found a vegan version. It is called "Creamy Portobello Mushroom Soup." Sold by Imagine Foods. They have other vegan "creamy" soups as well. Looking at the ingredients, I infer that the "creaminess" comes from a combination of potatoes and tapioca starch.
But I also found soups from other companies called "Creamy Something or Other" that contain cream.
Here are the US Standards for condensed cream soups (I found nothing for ready-to-eat soup):
Cream: Condensed cream soups may be made from various creams, whole milk, or dry milk powder. The amount of cream, whole milk, or dry milk powder should provide a minimum of .45 percent butterfat to the final product.