Hey Ashley,
We believe that they should! Considering that they are the ones working the Lead, I think they should be able to do that. That being said, you will want to make sure you have a conversation about what happends to the Leads once they are put in the Nurture and once the Nurture is completed. Will they want an alert? Or maybe added to a Campaign? Or a task created to follow up? What will the Lead need to do to be kicked back to sales? Click a link? Gain a certain amount of points? Etc.
Communication will be key, but I think it is a worthwhile venture myself!