Metal salts of cyclic alcohols can be used as modifiers in lithium initiated solution polymerizations of diene monomers into rubbery polymers having a low vinyl content. For instance, such initiator systems can be used in the copolymerization of styrene and isoprene to produce low vinyl styrene-isoprene rubber having a random distribution of repeat units that are derived from styrene. It is important for such polymerizations to be conducted in the absence of polar modifiers, such as Lewis bases. The subject invention more specifically discloses an initiator system which is comprised of (a) a lithium initiator and (b) a metal salt of a cyclic alcohol, wherein said initiator system is void of polar modifiers. The present invention also discloses a process for preparing a rubbery polymer having a low vinyl content which comprises: polymerizing at least one diene monomer with a lithium initiator at a temperature which is within the range of about 5° C. to about 100° C. in the presence of a metal salt of a cyclic alcohol, wherein the molar ratio of the metal salt of the cyclic alcohol to the lithium initiator is within the range of about 0.05:1 to about 10:1, and wherein the process is conducted in the absence of polar modifiers.