  We study the prospects for probing the CP structure of $hqq$ interactions
using the decays of the lightest baryon $\Lambda_q$ formed in the quark's
hadronization. The low yields of reconstructible events make it unlikely for
tests to be performed with the next generation of colliders. In $h\to b\bar
b\to \Lambda_b \bar\Lambda_b$ decays a CP-sensitive distribution could be
measured with a high-luminosity $e^+ e^-$ collider, while in both $h\to b\bar
b\to \Lambda_b \bar\Lambda_b$ and $h\to c\bar c\to \Lambda_c \bar\Lambda_c$
decays such a distribution could be measured with a very high luminosity $\mu^+
\mu^-$ collider. However, we find that only the $\mu^+ \mu^-$ collider can
produce enough $h\to b\bar b\to \Lambda_b \bar\Lambda_b$ decays to probe a
physical CP asymmetry in the $hbb$ vertex.
