Can't have the same table names in different entity framework models?

My application uses two different SQL 2008 databases. The databases have a few tables with the same name, ie. Users. I would like to use EF4 for both these databases. However, when I run my application and it hits the objectcontext creation of the second database, I get the following error:

Multiple types with the name 'User' exist in the EdmItemCollection in different namespaces. Convention based mapping requires unique names without regard to namespace in the EdmItemCollectionto namespace in the EdmItemCollection

Does this mean I can't use two databases with (partly) the same table names in the same application? They are in different namespaces, different edmx models, different projects, etc.

P.S. One of the models is designer-generated and uses POCO classes and the other is inferred from the database and is tightly coupled to EF.