cA systematic study is performed of the doping dependence of the chemical potential µ in La2−xSrxCuO4 as a function of Sr content, using a well-characterized series of pellets and thin films. The measured shift of the chemical potential, as deduced from the changes in the photoelectron spectra, is compared with present models for the doping behaviour of µ in high-Tc materials. The results obtained can be best described assuming µ shifts due to the doping of a rigid narrow band.