I think the inherent problem with this guy's proposal is that you're probably setting yourself up for failure and rejection. Certainly it can end well, i.e., he decides he was wrong about you in comparison to this other girl, and wants to be with you indefinitely. But what happens when he follows through with his plan to leave? He's in the clear. He was up front with you from the start, and you are left wondering (I would be in this situation at least) "Why wasn't I good enough to make him stay? Am I so unlovable?"
If you truly are interested in a month-long no strings attached involvement, I say definitely, go for it, because it sounds like that's what he intends this to be. If you do go forward with it I also say it'd be in your best interest to let go of those expectations of "changing his mind" - more likely you'll try so hard you'll come off as needy, which is never appealing. How can you really enjoy time with someone knowing that there's a chance you still won't measure up? I'm not trying to sound harsh, I essentially did the same thing so I can identify with that intense, all encompassing desire to be loved. I guess I'm just speaking from the experience of my own mistakes, in hopes you don't have to repeat them for me. Spending the month with him to try to change his mind - I picture it this frenzied month of domestic goddess sex insanity, cooking meals and folding laundry and doing favors and fucking his brains out to prove just how much better you are than her. What happens when none of that works?