  The study of jet production in small collision systems is essential for
testing our understanding of perturbative and non perturbative QCD and cold
nuclear matter (CNM) effects. In addition, studies at high multiplicity in
small collision systems exhibit signatures of collectivity, which is still not
fully understood within a unified picture across system size. Jet quenching in
small systems is not observed within current measurement precision, calling for
more precise jet measurements. Results of charged particle and fully
reconstructed jet production in pp and p--Pb collisions are presented at
$\sqrt{s_{\rm NN}} = 5.02$ and $8$ TeV, along with the corresponding nuclear
modification factor $R_{\rm pPb}$ at $\sqrt{s_{\rm NN}} = 5.02$ TeV. These
results are the most precise measurements of the $R_{\rm pPb}$ by ALICE to
date. To investigate whether jet energy is redistributed in CNM, the
cross-section ratios for different jet resolution parameters ($R$) are compared
between pp and p--Pb collisions, as well as within each collision system.
Finally, comparisons between data and model predictions are discussed. This
result extends previous LHC measurements to lower jet transverse momentum,
constraining hard parton production and fragmentation mechanisms applied in
model calculations, and the impact of the nuclear-modified parton distribution
function on jet production. This measurement also provides new constraints on
jet quenching in small collision systems.
