About “I’m Leaving”

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Sep 3, 2012 20:15
One day when I was on my way to work, a drunken man talked to me in English suddenly.

A drunken man: Hi, where are you going?

Me: I’m on my way to work.
He was surprised that I responded to him in English.

A drunken man: Oh, where do you work?

Me: Over there!
I said it while pointing the direction where I worked.

A drunken man: Where?

Me: Oh, I’m leaving. Bye!
I wanted to end this conversation as soon as possible.

After that, I thought about the usage of “I’m leaving.”
For instance, you and I are talking for a while in a room, but I have to go somewhere and I say to you, “I’m leaving.”
I think it’s a right way to say. I move from the room where we are talking to somewhere.
I was talking with the drunken man while heading where I work (walking).
Do you also say, “I’m leaving” in that situation?