To explore the possibility of quantum phase transitions and even quantum criticality in LaCrSb 3 based compounds, we performed measurements under pressure as well as a vanadium substitution study. The Curie temperature of LaCrSb 3 was found to be invariant under pressure. Although pressure was not able to suppress the ferromagnetism, chemical substitution was used as another parameter to tune the magnetism. We grew La(VxCr 1−x )Sb 3 (x = 0 -1.0) single crystals, and studied the series by measurements of temperature and field dependent magnetic susceptibility, magnetization, resistivity, and specific heat. Ferromagnetism has been observed for x ≤ 0.22, and the system manifests a strong anisotropy in its ordered state. The Curie temperature decreases monotonically as the V concentration increases. For 0.42 ≤ x ≤ 0.73, the system enters a new magnetic state at low temperatures, and no magnetic ordering above 1.8 K can be observed for x ≥ 0.88. The effective moment µ eff /Cr varies only slightly as the V concentration increases, from 3.9 µ B for x = 0 to 2.9 µ B for x = 0.88. Features related to quantum criticality have not been observed in the La(VxCr 1−x )Sb 3 system.