Yep, we had a fold out couch in our room which DH slept on. I sent him home the 2nd night when DS was still in the Special Care Nursery, but then DS roomed with us for the next three nights, I found it very comforting to have DH close by.
This time DH may stay the first night depending on what time of day bubs arrives (especially if late in the day/evening) however he wants to ensure he is there for DS while I attend to the newborn so we plan for him to spend the rest of the time with DS (who will stay at Nans the first night)