There are multiple flow sensing pathways by which cells are able to adjust their behavior in response to shifts in their native environment. One example of such an adjustment is the process by which the endothelial cells that line our blood vessels are capable of shifting their function in order to reduce our blood pressure, which is triggered when the cells sense that the flow across them has become elevated. In both cells and supported lipid membranes, recent experiments have demonstrated that lipid-anchored proteins can be reorganized via an external flow. Here, we utilize a combination of microfluids and fluorescence microscopy to monitor the dynamics of membrane reorganization under an applied flow in order to investigate the underlying biophysics of flow responses. We characterize the lateral motion of lipid-anchored membrane proteins resulting from the combination of forced convection under our applied flow and the natural diffusive behavior of the proteins through synthetic bilayers of various lipid compositions. In each composition, the drift velocity of the protein relative to discrete, stationary patches of supported lipid bilayer is identified. Understanding the dynamics of the lateral reorganization of the proteins in this simplified model system will ultimately aid in the prediction of proteins’ lateral motion in more complicated, biological contexts.