Dear Rakesh,
The LM-Service patch will not have a dependency. In terms of the update process please refer to note 1483508. There are further recommended corrections for SP11 found in note 1953075. These are not dependent on the LM-Service patch version, but are of course a recommendation in general for SP11 installations. If you are considering the recommended corrections please ensure to first check KBA 2013578 with regard to agent authentication.
Best regards,
Neal