The differential elastic scattering cross section for protons from Li6 nuclei has been measured for proton energies from 0.45 to 2.9 MeV at six different angles. The scattering data are consistent with an s- and p-wave phase shift analysis, assuming a single p-wave 52- state to be present at about Ep(lab)=1.84 MeV, with resonance parameters similar to the parameters previously assigned to the corresponding level in Li7, and a very broad s-wave 1/2 + state at higher energy. It is also possible to fit the scattering and reaction data with a p-wave 32- state and a different choice of s-wave background. A p-wave 1/2 - state is not consistent with the data. No evidence has been found for the existence of a previously reported 32+ state near Ep(lab)=1 MeV. Removal of the simplifying assumption that only one p-wave state is participating would probably lead to different conclusions about the nature of the s-wave scattering. The relative stopping cross section for protons in lithium was also measured and found to follow the Bloch formula from 0.8 to 2.8 MeV.