Based on conference chat discussions, I think gdog is talking about a walkon. For walkons, the FAQ says “...once recruiting begins and before job offers are extended to coaches at the end of the season, you can offer a scholarship to a walk-on. If you do not offer a walkon a scholarship - he will not be on your roster for the next season.”
This may be an outdated, pre-3.0 answer. I’m not clear on how the timeline matches up currently. If you still have the option to offer, I think that answers the question. My suspicion is that you will not be able to offer the scholarship after the second session has started, but I’m not sure on that.