Motivated by the prospect of observing Efimov and Bose polaron physics in ultracold mixtures of bosonic atoms with large mass imbalance, this work investigates the magnetic Feshbach resonances between
7Li and
133Cs. The resonances are predicted at the 1 gauss level using the model of Pires et al. [Phys. Rev. A, 90, 012710] obtained from experimental observations of resonances between
6Li and
133Cs. It is found that a few resonances in a practical range of magnetic field intensity could be used to tune the scattering length between
7Li and
133Cs atoms. Opportunities for observing Efimov and Bose polaron physics are discussed.