My advice...be careful. Just so you understand "the norm" here....which doesn't mean it is every situation...but in my experience it is true for the majority of Jordanians...marrying a virgin is pretty darn important to them. Not necessarily your man, but it's all about HIS FAMILY. Because this is against the religion (as far as I understand)...you will have a really hard time with the elders.
I know of a girl who met a guy online and they really connected. She has a young son and is divorced. He loves her and her son, however, when time came to tell the family he wanted to marry her he was met with total disapproval. Remember the families are HUGE here...so he's not just getting flack from a few, but like dozens of people that throw it in his face...over and over...he will eventually have to make a choice; you or them. The girl I know has now been talking with the Jordanian guy for 2 years as he promises next week he will send her a ticket...but it never happens. Personally, I feel it's the pressure from all his family.
So, it just depends on his family. If they are educated and have lived outside of the country in a western country your chances are better!! But, know that this is REALLY frowned upon and could just mean he wants you because you are American. I had a friend who got married at the same time as me. We all moved back to the USA..me on the west coast her on the east...3 years to the DAY....he got permanent status and LEFT HER! He got his passport, and came back to Jordan, got a Jordanian wife and then moved back to the USA. My friend, is still broken-hearted and unmarried. And of course very distrustful of men. So just be careful.