Results on the production of $\pi^{\pm}$, $\textrm{K}^{\pm}$, $\textrm{p}(\bar{\textrm{p}})$, $\Lambda(\bar{\Lambda})$, $\Xi^{-} \left(\bar{\Xi}^{+}\right)$ and $\Omega^{-} \left(\bar{\Omega}^{+}\right)$ at midrapidity (${|y|<0.5}$) as a function of multiplicity in \ppS pp collisions are reported. Transverse momentum distributions and integrated yields are compared to expectations from statistical hadronization models along with results from different colliding systems and center-of-mass energies. The evolution of spectral shapes with multiplicity show similar patterns to those seen in p-Pb and Pb-Pb collisions. The \pT-integrated baryon yields relative to pions exhibit a significant strangeness-related enhancement in both pp and p-Pb collisions.