There would always be that possibility. But it would be hugely mitigated and perhaps even nullified by quarantining. And by then, there will almost certainly be a lot more testing available to justify consistent testing multiple times a week.
There are billions of dollars at stake for both the players and owners. And you now have the doctor who is heading up the task force practically advocating for it.
This virus is awful and I know many people haven’t taken it seriously enough. But having Fauci advocating the idea with health officials, players and owners all on board would seem to be a fair, safe and logical tipping point to me.