org-keep-stored-link-after-insertion

org-keep-stored-link-after-insertion is a variable defined in `org.el'.
Its value is

nil

Documentation:
Non-nil means keep link in list for entire session.

The command `org-store-link' adds a link pointing to the current
location to an internal list. These links accumulate during a session.
The command `org-insert-link' can be used to insert links into any
Org-mode file (offering completion for all stored links). When this
option is nil, every link which has been inserted once using M-x org-insert-link
will be removed from the list, to make completing the unused links
more efficient.

You can customize this variable.