It sounds like you would need to start your movement from cover, or around a corner. (Which satisfies the stealth rule.) You would also need to make it to the closest enemy in one move. If your movement ends short of an attack, they can see or hear you unless you can justify some other cover or concealment present. Low light conditions would probably suffice, unless they have low light vision.
Although, depending on how close you were when you took your roundabout route, some GMs could say that you would have needed to roll stealth the whole time so they couldn't hear you in the next alley as you ran by. That one is more of a GMs call.