First off, I suggest you be honest with yourself about this:
You *KNOW* your H is flirting, and you know for sure that he is flirting with one specific woman.
What you don't know is how far he's taken thing, although you don't think he's cheating. (Aside: Some people are incorrigible flirts, but they usually flirt with anybody of correct gender... .you don't mention this)
I did tell him to stop 'flirting' and he jokingly said "I feel happy when I see your possessiveness. I deliberately tell you all about her to make you jealous so that you will care for me more".
I kinda understand that this is based on his own insecurity--his fear that you don't love him, or would leave him. Just the same, that statement really bugged me; I just hate that kind of deliberate manipulation.
Anyhow... .it is completely possible he wants to flirt and make you jealous, but doesn't actually intend to cheat on you. He doesn't sound at all remorseful about it. You will probably have a really hard time getting him to stop.