  The self-normalised $\psi(2S)$ yields as a function of charged-particle
multiplicity in pp collisions at $\sqrt{s}$ = 13 TeV and p--Pb collisions at
$\sqrt{s_{\mathrm{NN}}}$= 8.16 TeV, using the ALICE detector at the CERN LHC,
are reported in these proceedings. This measurement represents one of the main
tools to understand the role of multiparton interactions and their influence on
charmonium production in small systems, i.e pp and pA collisions. The ratio of
$\psi(2S)$-over-J/$\psi$ as a function of charged-particle multiplicity is also
presented for both pp and p--Pb collisions. The comparison to theoretical
calculations is reported.
