Sausage in slow cooker while beans are cooking?

I’ve always browned my sausage then placed in pot with beans (after the beans have been slow cooking for 8 hours), but am limited on time tomorrow. If I brown my sausage then place them in slow cooker on low in the morning, am I going to overcook them? I won’t be back home till 6pm, so they will be slow cooking for about 11 hours. Veron’s mild pork sausage and Rabideaux’s venison and pork sausage. Also throwing the leftover ham and bone from New Year’s Day honey baked ham in the crock pot.