We present Monte Carlo simulations that examine the partitioning of dilute solutions of ring or linear chains into a slit pore using two chain models, the random‐walk (RW) model and the self‐avoiding walk (SAW) model. We compared the partitioning coefficients K of the ring against the linear chains at the surface interaction that are both under the critical adsorption point (CAP), the exclusion regime, and above the CAP, the adsorptive regime. In both chain models, K for the ring remain larger than K for the linear chains at both regimes. The ring chain crosses over the point K = 1 at a weaker surface interaction than the linear chain. When extrapolated to infinite chain length, the cross‐over point for the ring and linear chain becomes the same (within statistical errors) for the RW model but remains different for the SAW model. The density profiles of the ring chain within the pore reveal the development of humps near the wall as the surface interaction crosses over the CAP. The excluded volume interaction in the SAW model additionally impacts the partitioning of chains in a solution consisting of a binary mixture of ring and linear chains and makes the K values in a binary mixture differ from the monodispersed solution.This article is protected by copyright. All rights reserved