Turn off automatic ticket creation without shutting down mail fetch?

Turn off automatic ticket creation without shutting down mail fetch?

As in the title, is there a way to turn off the automatic creation of tickets when mail is fetched?
 
We would like to be able to keep notifications on that alert requesters when a ticket is created, and allow for automatic addition of replies, without a ticket being created for each and every item that gets e-mail to our Helpdesk mailbox.

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