BB-8 had alerted them the moment Finn had been brought into Medical from the pod landing, which led to Poe and Rey sitting vigil from just moments after that. They'd taken breaks, switched off, gotten food and water, chatted amicably. Poe was good at keeping casual conversation rolling, asking questions without getting too dark on the subject.
Now it was quiet, and Poe was settled into a chair with his feet popped up, eyes closed while he rested.
The jacket that he'd given Finn was draped across his lap, needle and thread sitting on a nearby table as he'd patched it to the best of his abilities here. He didn't notice when Finn started opening his eyes, but BB-8 - who had been idling next to him - beeped and whirled as soon as Finn shot up, and it made Poe drop his feet with quick ease. Standing up and trying to avoid stepping on his droid was a little more difficult, but he shuffled BB-8 out of the way so he could stand next to Finn's bedside, hand reaching out to reassure the wounded man. "Hey, buddy. Deep breath. Don't pull anything, cause I'm pretty sure the doctors aren't going to be happy if they have to re-bandage that wound again."