The coordinated recruitment of leukocytes to sites of infection and inflammation is a central process of the immune system and proceeds in several steps. Here we focus on the dynamics of rolling leukocytes obtained from in vitro experiments. Trajectories of rolling leukocytes in small flow chambers are acquired with phase contrast microscopy under different levels of fluid shear stress and a variation of protein coatings of the (adhesive) surfaces. Bayesian data analysis of a random walk model including drift is applied to individual trajectories of leukocytes. The analysis allows the estimation of drift velocities and diffusion coefficients within an uncertainty of about 10% and shows a certain homogeneity of the cell groups. Drift velocities of cells saturate in spite of increasing fluid flow. In addition, the analysis reveals some correlated fluctuations of cells' translocations requiring a refinement of the stochastic model.