We study the prospects for deducing constraints on the interaction of charmed baryons with nucleons from measurements of two-particle momentum correlation functions for $Lambda_c p$. The correlation functions are calculated for $Lambda_c N$ and $Sigma_c N$ interactions that have been extrapolated from lattice QCD simulations at unphysical masses of $m_pi=410-570$ MeV to the physical point using chiral effective field theory as guideline. In addition, we consider phenomenological $Y_c N$ models from the literature to explore the sensitivity of the results to the properties of the interaction in detail. We find that a measurement of the $Lambda_c p$ correlation functions could indeed allow one to discriminate between strongly attractive $Lambda_c N$ forces, as predicted by some phenomenological models, and a weakly attractive interaction as suggested by the presently available lattice simulations.
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