  The production of the $\Lambda$(1520) baryonic resonance has been measured at
midrapidity in inelastic pp collisions at $\sqrt{s}$ = 7 TeV and in p-Pb
collisions at $\sqrt{s_{\rm{NN}}}$ = 5.02 TeV for non-single diffractive events
and in multiplicity classes. The resonance is reconstructed through its
hadronic decay channel $\Lambda$(1520) $\rightarrow$ pK$^{-}$ and the charge
conjugate with the ALICE detector. The integrated yields and mean transverse
momenta are calculated from the measured transverse momentum distributions in
pp and p-Pb collisions. The mean transverse momenta follow mass ordering as
previously observed for other hyperons in the same collision systems. A
Blast-Wave function constrained by other light hadrons ($\pi$, K,
K$_{\rm{S}}^0$, p, $\Lambda$) describes the shape of the $\Lambda$(1520)
transverse momentum distribution up to 3.5 GeV/$c$ in p-Pb collisions. In the
framework of this model, this observation suggests that the $\Lambda(1520)$
resonance participates in the same collective radial flow as other light
hadrons. The ratio of the yield of $\Lambda(1520)$ to the yield of the ground
state particle $\Lambda$ remains constant as a function of charged-particle
multiplicity, suggesting that there is no net effect of the hadronic phase in
p-Pb collisions on the $\Lambda$(1520) yield.
