A tilling machine includes a frame having a jump arm frame unit and a plurality of jump arm assemblies supported along a length of the jump arm frame unit such that a lateral gap is defined between each adjacent pair of jump arm assemblies of the plurality of jump arm assemblies. Additionally, the tilling machine includes a plurality of jump arm spacers, with each jump arm spacer being provided in operative association with a clamp unit of a respective jump arm assembly of the plurality of jump arm assemblies to maintain the lateral gap between each adjacent pair of jump arm assemblies.