What does it mean when a guy says “he won’t share you with any other guy”?

I’ve asked this question before I would to give more context to the story. We’ve been seeing each other a over a month and we both have a really strong connection. But when he said this to me we were talking about another guy and I feel like it was romantic but it could also be a red flag. We are not officially dating but are really close to being.

What does it mean when a guy says “he won’t share you with any other guy”?
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