@Adelacort,
You have no reason to change.
He's acting like an ass.
Have you ever met this gal? I mean in person, not email or Facebook or phone calls.
Have her over. Invite her, for realz. Make dinner, etc. She'll be your guest.
If she refuses or if he balks, then you'll know it's more than he says it is.
And even if she does come over, see if you can get him into therapy, at least couples counseling. He needs to be made aware of the fact that his lies are making him untrustworthy to you and they are undermining your marriage, even if his relationship with his coworker is 100% innocent.