A subgroup H of a group G is said to be an ICΦ -subgroup of G if H∩ [H, G] ≤ Φ (H). We prove the p-nilpotency of a finite group G under the assumption that certain p-subgroups of G are ICΦ -subgroups of G. Our main result generalizes and extends some recent work of Gao and Li [1].