Java switch statement using class.getSimpleName() gives Constant express required error

I'm trying to use class.getSimpleName() for the expression of a switch however it gives me an error:

Constant express required

I've seen answers suggesting to change the expression variable declarations to have initializers that are compile-time constant expressions. However, this is not possible in this case.

Is there a way to make a switch using class.getSimpleName() without having to hardcode the class names?

Example code

public class ClassA {
   public static final String TAG = ClassA.class.getSimpleName();
   ...
}

public class ClassB {
  public static final String TAG = ClassB.class.getSimpleName();
  ...
}

public class SomeOtherClass {
  switch (express) {
     case ClassA.TAG: // Error here
        ...
        break;
     case ClassB.TAG: // and here
        ...
        break;
     default:
        ...
        break;
 }