There is no way to judge whether the recording alone would be sufficient to win a case. The judge or jury would be listening to the recording and the other evidence and making a determination. It also depends upon what the employer is retaliating against. If you were complaining about sexual harassment, racism, wage issues, etc., and the evidence shows that you were terminated for those complaints, then you could be due a potentially significant recovery. You should go through all the facts with an employment attorney. Then after hearing the recording, and learning of the other evidence you have, the attorney will be able to give you sound advice regarding your potential claims.
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I don't think any attorney would be inclined to go on the record as saying you have "a sure fire win." Often times someone thinks they have a "smoking gun" and yet when that evidence is viewed by a BOLI, EEOC or DoL investigator with the totality of the evidence available, the agency reaches a different conclusion. Was this audio recording was made via telephone or in person? If it was in person, did you obtain the consent of whomever you were recording? If not, the agency may not consider the evidence because it is unlawful to record someone in person without their consent. Given the scant details we have here, it is very difficult to assess the strength of your case. It would be a good idea to consult with an attorney at this stage. There are a variety of timing deadlines so it's in your best interest to act quickly. Best of luck!