We propose a new class of models called Little Z models in order to reduce the fine-tuning due to the current experimental limits on the Z mass in E 6 inspired supersymmetric models, where the Higgs doublets are charged under the extra U (1) gauge group. The proposed Little Z models allow a lower mass Z due to the spontaneously broken extra U (1) gauge group having a reduced gauge coupling. We show that reducing the value of the extra gauge coupling relaxes the experimental limits, leading to the possibility of low mass Z resonances, for example down to 200 GeV, which may yet appear in LHC searches. Although the source of tree level fine-tuning due to the Z mass is reduced in Little Z models, it typically does so at the expense of increasing the vacuum expectation value of the U (1) -breaking standard model singlet field, reducing the fine-tuning to similar levels to that in the Minimal Supersymmetric Standard Model.