Access attribute of outer class from nested class

Question

I'm trying to save an Inner class object into the database with the cursor of the outer class.

The thing is if I implement the class User outside with cursor as a parameter, it can receive any cursor as parameter by mistake, and I want User to be created only inside this SpecialDatabase context.

This is an example of my classes:

import MySQLdb

class SpecialDatabase():

    def __init__(self, dbinfo):
        self._dbinfo = dbinfo

    def __enter__(self):
        self._conn = MySQLdb.connect(**self._dbinfo)
        self._cursor = self._conn.cursor()
        return self

    def __exit__(self, exc_type, exc_val, exc_tb):
        try:
            self._cursor.close()
            self._conn.close()
        except AttributeError:
            print('Not closable.')
            return True

    # User is an object of this database
    class User():
        ...
        def change_name(self, name):
            stmt = '''UPDATE users SET name=%s WHERE id=%s'''
            data = (name, self.id)

            # I want to execute something like this, 
            # but I don't know how to reference the cursor from the outer
            outer._cursor.execute(stmt, data)
        ...

# EDIT
dbinfo = {'host':'***', 'user':'***', 'passwd':'***', 'db':'***'}
db = SpecialDatabase(dbinfo)
...
user = db.User(id)
user.change_name("Bob")
...

Is there a way to do this?

EDIT: Added initialization of both classes