Bicycles filled an important gap in the transportation infrastructure, and they employed an approach where groups of soldiers would move many miles per day by rotating between trucks, bicycles, and walking on foot. Sleeping was not part of a soldier's schedule in these blitz invasions, and he'd presumably get some shut eye on the back of a truck or in a field during a very brief pause. This was also made successful by excellent planning, and maybe drugs.
Also, I heard that German soldiers appropriated a bunch of bicycles during their occupation of the Netherlands.