Migrating boards from old Jira integration to new

I would like to start using the new Monday-Jira integration, it seems to have a lot more capabilities and customization options.
I couldn’t figure out how to “migrate” the current link between Monday items and Jira items that I have, so that the new integration would be aware of them.
Seems like the new integration creates a new item in Monday for all Jira items without being aware they are already on the board.
I have the items on the Monday board connected to other items on other boards, so I don’t want to simply delete the old ones.

Anyone found a fix for that?