  Temperature variation of the lower critical field in the noncentrosymmetric
superconductor $\alpha$-BiPd was 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 $T_c
\simeq$ 3.8 K, a conventional $H_{c1}(T)$ dependence was found, typical for a
single-band $s$-wave BCS 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.
