We report the results of in-plane magnetotransport study of slightly underdoped cuprate La$_{1.85}$Sr$_{0.15}$CuO$_{4}$ (LSCO15) with Ni impurity. Increasing Ni content $y$ causes a sharp drop in longitudinal magnetoresistance (LMR) in LSCO15 to broaden and move towards higher temperatures. Temperature $T_{mLMR}(y)$ of this local maximum in LMR coincides with temperature $T_{dev}(y)$, below which ideal resistivity from the parallel-resistor model deviates from its $T^{2}$-dependence. A direct comparison with the hole doping evolution of pseudogap (PG) in La$_{2-x}$Sr$_{x}$CuO$_{4}$ (LSCO), possible through the mobile-carrier concentration extracted from the thermopower measurements, allows to equate both characteristic temperatures $T_{mLMR}\!\cong\!T_{dev}$ with PG opening temperature $T^{*}$. The rate of PG closing by magnetic field parallel to the CuO$_{2}$ plane, in measurements up to 9 T, is consistent with spin-paramagnetic effect in this configuration and yields PG closing field $B_{pc}$ close to the second critical field $B_{c2}$ predicted for superconducting gap with the help of Werthamer--Helfand--Hohenberg theory. The field anisotropy of $B_{pc}$ suggests that orbital degrees of freedom also play a role in PG formation.