Temperature variation of the lower critical field in the noncentrosymmetric superconductor α‐BiPd is probed by local magnetization measurements using Hall micromagnetometry, performed down to 0.3 K in a magnetic field applied along the crystallographic b axis. Below a critical temperature 3.8 K, a conventional dependence is found, typical for a single‐band s‐wave superconductor. The obtained data imply an absence of spin‐triplet component in the superconducting wavefunction and marginal multiband effects in this material, which contradicts some literature reports.