Copy a Nullable property to a non-Nullable version using Reflection

I am writing code to transform one object to another using reflection...

It's in progress but I think it would boil down to the following where we trust both properties have the same type:

    private void CopyPropertyValue(object source, string sourcePropertyName, object target, string targetPropertyName)
    {
        PropertyInfo sourceProperty = source.GetType().GetProperty(sourcePropertyName);
        PropertyInfo targetProperty = target.GetType().GetProperty(targetPropertyName);
        targetProperty.SetValue(target, sourceProperty.GetValue(source));
    }

However I have the additional issue that the source type might be Nullable and the target type not. e.g Nullable<int> => int. In this case I need to make sure it still works and some sensible behaviour is performed e.g. NOP or set the default value for that type.

What might this look like?