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The magnetic hyperfine field (mhf) acting on a 181 Ta probe dilutely substituted at the non-magnetic transition element site has been investigated for the pseudo-quaternary Heusler alloys Co 2 Ti 1−x Nb x Al, Co 2 Ti 1−x V x Al, Co 2 Ti 1−x V x Sn, and Co 2 V 1−x Cr x Al with x = 0.2, 0.4, 0.6 and 0.8 by TDPAC measurements utilizing the 133-482 keV gammagamma cascade in 181 Ta following the β −-decay of 181 Hf. Magnetization measurements on Co 2 Ti 1−x (Nb, V) x Al samples were carried out by using a vibrating-sample magnetometer. The Curie temperature and the saturation magnetization were obtained for each alloy. The lattice parameters of the alloys were determined by x-ray diffraction measurements. The results for the mhf acting on Ta occupying the non-magnetic transition element site are discussed and compared with the mhf systematics for the cobalt-based Heusler alloys.