The minimum concentration of salt (critical electrolyte concentration, CEC) required to suppress precipitation/coacervation in an aqueous solution of sodium hyaluronate (NaHy) and tetradecyltrimethylammonium bromide (TTAB) has been studied and CEC diagrams constructed for a set of inorganic salts, as a function of TTAB concentration. An initial rapid increase in the CEC is observed for low TTAB concentrations at the onset of the coacervation region. When the TTAB concentration is increased, a CEC plateau is reached at a certain TTAB concentration. Thereafter, the CEC value stays fairly constant, independent of TTAB concentration, until finally the CEC value starts to decrease at a sufficiently high TTAB concentration. The CEC plateau value and the onset of the decrease of CEC are shown to depend strongly on the valence of the ions constituting the salt. For ions of equal valency, ion-specific effects are observed.