My newly adopted lab/Rhodie took a few days to get used to the cats--I don't think she'd ever been around them. My cats took about a week of hissing and spitting. Now they love her, even sleep touching her!
I think it might well work--just be prepared for some major fights at first, and if you are around at the beginning you will be able to intervene if it gets bad, otherwise let the cat hold its own--and it will!! I remember introducing my recently departed Rhodie to a new cat, she drooled so much I though the cat was definitely a gonner. Didn't take long before they lived in perfect harmony, even if the Rhodie did chew on the cats occasionally. Much screaming, hissing, clawing, and then life went on as normal.
Good luck!
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