@betatesthighlander1: But I guess that he doesn't here, otherwise that would be one sided. But eh...at any rate, if Jason can get him before he has time to actually get outta the bed win. Though if Conan is awake and aware then....not entirely sure how he would keep Jason down, I mean Jason isn't gonna stand there and pretty sure one punch would send Conan flying. He really just seems to take blows and when the opportunity presents itself he attacks, Jason has done that actually a few times.
Just saw in X, a marine was fighting him H2H and tanked all his blows before just slapped him away and killing him.
If Jason gets the drop on him then maybe he can take out Conan, but you seem to think Conan is human. Conan looks human (kind of) and is described as human but he does things no human can do. If you take movies as canon than Conan once killed a god, a destroyer of worlds with his ! (Granted he finished it off with a weapon but it was already beaten) Conan is probably a strong as Jason and nearly as hard to kill. He's taken extreme physical abuse that would kill normal men and in his first appearance shook off a magical killing curse with sheer will.(And this wasn't any punk-ass Avada Kedavra either) Not only is he a physical specimen far above anything any real person could hope to become he's also likely the greatest warrior in all of Hyboria, which is full of warriors. Jason has been beaten by teenage girls, Conan has beaten gods. Conan all the way.