When job adverts ask for an Honours degree, is a Master's an acceptable substitute?

I don't have a an honours degree. I dropped out in my final year, and in the summer I'll graduate with an ordinary degree. I've spoken with the university and there's no way I can complete the degree because they have a time limit which I've passed.

I have found a Masters programme which looks perfect for me - training in a field that really interests me and accepts applicants with an ordinary degree.

I am in the early stages of researching and applying, but say I did do this Masters and then later applied for a job with the requirement of a honours degree - would this Master's count as an acceptable substitute?

I have googled this question in a range of different ways but all the results are people asking if they can get into a Master's programme. I already understand the vast majority of Masters programmes are out of reach for me, but I want to know what my situation would be like IF I successfully get into and pass the Masters

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