By binding to a multitude of polypeptide substrates, Hsp70-based molecular chaperone systems perform a range of cellular functions. All J-protein co-chaperones play the essential role, via action of their J-domains, of stimulating the ATPase activity of Hsp70, thereby stabilizing its interaction with substrate. In addition, J-proteins drive the functional diversity of Hsp70 chaperone systems through action of regions outside their J-domains. Targeting to specific locations within a cellular compartment and binding of specific substrates for delivery to Hsp70 have been identified as modes of J-protein specialization. To better understand J-protein specialization, we concentrated on Saccharomyces cerevisiae SIS1, which encodes an essential J-protein of the cytosol/nucleus. We selected suppressors that allowed cells lacking SIS1 to form colonies. Substitutions changing single residues in Ydj1, a J-protein, which, like Sis1, partners with Hsp70 Ssa1, were isolated. These gain-of-function substitutions were located at the end of the J-domain, suggesting that suppression was connected to interaction with its partner Hsp70, rather than substrate binding or subcellular localization. Reasoning that, if YDJ1 suppressors affect Ssa1 function, substitutions in Hsp70 itself might also be able to overcome the cellular requirement for Sis1, we carried out a selection for SSA1 suppressor mutations. Suppressing substitutions were isolated that altered sites in Ssa1 affecting the cycle of substrate interaction. Together, our results point to a third, additional means by which J-proteins can drive Hsp70’s ability to function in a wide range of cellular processes—modulating the Hsp70-substrate interaction cycle. Molecular chaperones are proteins that bind transiently with other proteins, facilitating their effective function by, for example, aiding their folding, degradation or interaction with other proteins. Hsp70-based chaperone systems are arguably the most versatile. Much of their ability to specialize is driven by obligate J-protein co-chaperones. Two ways in which J-proteins can drive Hsp70 specialization are known: by physical localizing to a particular site of action, recruiting Hsp70 to substrates present there; and by binding substrates directly, giving them a “leg up” to bind Hsp70. Using the genetic system of budding yeast, we found evidence for a third means by which J-proteins can drive Hsp70 versatility—tuning the cycle of Hsp70’s interaction with substrate proteins. As this is a step common to all Hsp70 systems, we suggest that our results are likely applicable to many Hsp70 systems.