Can I date a my friend's fling?

My roommate, and now good friend, was involved in a fling last summer for a good 2 or 3 months. I met both her and him after they had ended it, he liked her, but she did not have feelings for him. They are still friends. That was about a year ago and she is now in a serious relationship with another man (they are moving in together this fall). My other friend, the man she had a fling with, is interested in me. There has always been some tension between us, I think that he is a great guy, and I'd love to go on a date with him but not if it will jeopardize my friendship with her. Can I date him? How do I approach the situation with her? Or should I just leave this one alone, because I don't want to disrespect her, she is a very dear friend of mine.
Can I date a my friend's fling?
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