We have studied the effects of incoherent pumping on EIA at the transition between the $F_g=2$ ground state and the $F_e=3$ excited state in $^{85}Rb;D_1$-line. Generally, the studies about EIA have been done in the cycling transition, where the population has no loss to other states. In the case of EIA by using the $^{85}Rb;D_1$ transition line, the population is transferred to the other hyperfine state due to optical pumping. We incoherently pumped the atoms from $F_g=3;to;F_g=2$ with the pumping beam, which is resonant at the transition from $F_g=3;to;F_g=2$. We were able to observe the effects of incoherent pumping depending on the power and the polarization of the pumping beam.