If that is true then since the Employer can't ask you they can just force you to get a JAB one day when you are walking into work, whether you have had one in the past or not.

Been litigation on employers forcing this kind of action in my state, not just forced jabs but forced blood draws, restrictions on smoking even on weekends away from work, etc. etc. and the Courts have come down in the Employer's favor EVERY TIME.

One industrial company in particular has led the way in my state in this whole arena ... and they have a 100% success rate in Court.

So ... I guess you can keep it a secret but your employer can one day say "We won't ask ... but you ARE GETTING A JAB TODAY of the vaccine of OUR CHOOSING or you are fired". (and this one company I am sure IS going to require that jab)

... and before you say "SUE", well they have been sued, ALWAYS won, 100% of the time, and NEVER had to pay out a single unemployment claim on one of these issues of firing someone for not complying with one of their medical requirements, including jabs