The real question here is, does the engine keep running and pull the plane around okay?
If the engine needs primed, via eyedropper or pulling the prop around with fingers on the carb, that's okay. If it runs okay and pulls the plane around reliably, it's all okay. When you stop the engine, there's no need for the fuel to stay in the fuel line. There's probably stil a few drops left in the carburetor.
So... does it keep running on the ground? Does it keep running at high RPM when you lift the plane and point the nose up? If so, you have no problem.
How's the plane otherwise?
Best wishes,
Dave Olson