The invention is directed to a push over arm assembly and retro-fit kit for hay bale accumulators. In one embodiment, the push over arm kit includes a piston arm configured to be movably secured to a push over arm structure, such as that from a Hoelscher™ bale accumulator. An inclined plane is secured to a baler end of the piston arm and extends in a direction away from the piston arm forming an acute angle (Θ). And, a bias element, e.g., a spring, is configured to cooperate with the piston arm to bias the piston arm along its length. The spring controlled piston arm prevents or minimizes the occasional halting of a hay baling operation caused by jamming of the leading hay bale as it collides with a baler end of the piston arm.