Currently considering booking ITA LCY-BDS return in May with a stop in LIN - Business Class.

Transfer time is 1h25min. Does anyone have experience of Non-Schengen - Schengen transfers in LIN and vice versa? Assuming baggage is checked all the way then I'm hoping for just a passport check before boarding the connecting flight to BDS. Is it possible that I'll have to exit the secure area and go back through security before my connecting departure?

Thanks for any help you can offer.