Or after Finn says that his friend was taken prisoner, you could just cut to Leia saying, “And I’ll do everything I can to help, but first you need to tell us all you know.” Yeah you lose a few lines but it’s worth it in order to bypass that jarring cut. And the lines lost are not really necessary, the scene still works either way. But I would only try this if the first one me and Smithers thought about still feels noticeably jarring.
This is what I had in mind, it would be way more seamless.