Using template specializing for hierarchical class construction

Suppose we have a class named DTOBase which contains some declarations, some times i need DTOBase with extra declarations based on given template like this :

class DTOBase {
   /* DTOBase Declarations */
}

template<typename EntityType>
class DTOBase {
     /* DTO Base Declarations */
     /* Extra declarations for EntityType */
}

Now using classes:

DTOBase dto;
/* using with DTOBase members */


DTOBase<SomeEntity> dto;
/* using with DTOBase members and extra templated members */

I create a private base class and then created two version of DTOBase (non templated and templated one), but i think its possible to do it better way, eg. using C++11 template specialization or something like this.

Is it possible to declare a templated class, which inherits members from its non templated version?