The truth is there may not even be room for a second round pick considering the following.

"Considering the Spurs' log jam at guard, don't expect to see Weatherspoon in a Spurs uniform barring any trades for cap space or waivers. Also working against him is the fact that first round picks are required to be signed to a guaranteed contract if they aren't under contract elsewhere, and the Spurs already have two with Luka Samanic and Keldon Johnson. Assuming Samanic isn't stashed (he has stated he wants to play for the Spurs next season) and Rudy Gay re-signs, that will leave just one roster spot remaining, and the Spurs would still have the MLE to use on an established veteran."

He might be able to sign a two-way deal but that may be the only way he gets to play.