Magnetic skyrmions are expected to be promising candidates for information carriers in spintronic devices. In previous work, precise position control of skyrmions has been the main focus of attention for memory and logic applications. Here, with the aim of employing the thermally activated random walk of skyrmion bubbles for logical operations, i.e., token-based Brownian computing, we investigated the dynamics of skyrmion bubbles in W/FeB/Ir/MgO structures. In addition to the observation of Brownian motion of skyrmion bubbles, we demonstrated the electrical control of the diffusion constant by voltage applications. The developed technique would be useful for various kinds of skyrmion-based spintronic devices as well as Brownian computing.