Latex inks are one of the most prevalent types of inks within the inkjet printing market. These inks are water-based, but commonly contain cosolvents to tune their liquid properties. After the printing process these cosolvents are in part (<5 wt% cosolvents in paper) left in the paper, where over a period of days to months (long-term) they will redistribute to form a uniform concentration profile. This redistribution has been shown to correlate to long-term curl of prints on uncoated paper. In this work, a model is proposed that describes the mass transport of cosolvents in paper by means of Fickian Diffusion, which is then coupled to a beam-bending model to describe the evolution of paper curl over time. The model is demonstrated to give a good fit to experimental results of different types of uncoated paper (sized and unsized paper). Herein the cosolvent concentration profiles were measured experimentally in an ex situ approach; print samples were sectioned to different thicknesses by a home-built milling apparatus after which the cosolvent concentration was determined by quantitative 1H-NMR. In parallel, the deformation was measured also by a home-built device.