How to enable ESM processing for a disabled mailbox (4311945)

When mailbox is disabled but Store Management is still enabled for the mailbox, ESM service will generate the following error:

Event Type: Error
Event Source: Archive Manager Exchange Store Manager Service
Event Category: None
Event ID: 0
Date: 1/10/2007
Time: 3:43:50 PM
User: N/A
Computer: ServerName
Description:
Error OPENING Mailbox for processing UserName on server, ComputerName MAPI Error !
Interface : IMAPISession
Code : FailOneProvider
Component : Microsoft Exchange Server Information Store
The attempt to log on to the Microsoft Exchange Server computer has failed.

There was an unhandled exception in this application