  We investigate the possible sizes of all the CP-violating asymmetries offered
by the angular distribution of rare decay $\Lambda_b\rightarrow \Lambda(\to p
\pi^-) \ell^+\ell^-$ in the Standard Model and new physics scenarios motivated
by the recent $b\to s \ell^+\ell^-$ anomalies. We work in a model-independent
effective theory framework and discuss the sensitivity of CP asymmetries to new
${O}_{9,10}$ operators and their chirality flipped counterparts. We find that
the size of many of the CP asymmetries can be at the level of a few percent in
new physics scenarios consistent with current $b\to s\ell^+\ell^-$ data at a
level of $1\sigma$. We emphasize that measurements of these CP asymmetries can
be used to discriminate different new physics scenarios in $b\to s
\ell^+\ell^-$.
