The short answer is yes. Both cases are against your employer and both cases have similar facts from which they arose. The question in each case is whether the scope of the deposition allows questions of the sort being asked. Discovery rights are very broad. But you have two attorneys, I assume, one for each case. It is always best to address questions about the law and the facts of your cases to your own attorneys.
I agree w Ms Harris. Yes they can because the two are intertwined
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If your attorneys do not object then the questioning is allowed. This is a procedural and evidentiary issue that you should discuss with your attorneys.
Depositions are quite broad and designed to probe into evidence which could lead to the discovery of admissible evidence.
Since both of your cases arise from on the job incidents your attorneys probably didn't object to the interrogation. But again this should be addessed to your two attorneys who are familiar with your claims rather than strangers.
There is most likely a "common nucleus of operative fact" between the two matters. Discovery is broad in civil and in WC, so the questions were probably allowable. Be aware, however, that settlement of one case could potentially interfere with the other, so make sure both of your lawyers are communicating. Whenever I have a wrongful termination case mixed with a WC case, I work with the other employment lawyer and try to reach global settlements whenever possible.
I agree with the others. I would also suggest you discuss this with your attorney(s) and make sure they are coordinating efforts between the two cases in your best interests.