Bubble transport is of importance in many applications for non-Newtonian fluids, such as in composite materials manufacturing where residual bubbles may impair electrical properties, surface appearance and the mechanical properties of the manufactured products. In this study, a model experiment is performed where a non-Newtonian fluid(grease) with bubbles is compressed between two plates whereas the motion of the bubbles is tracked and evaluated using Particle Image Velocimetry. The bubble motion is furthermore analytically modeled and coupled to the experimental results.