Various human-robot collaboration scenarios mayimpose different requirements on the robot’s autonomy, ranging from fully autonomous to fully manual operation. The paradigm of sliding autonomy has been introduced to allow adapting robots’ autonomy in real time, thus improving flexibility of a human-robot team. In sliding autonomy, functions can be handed over between the human and the robot to address environment changes and optimize performance and workload. This paper examines the process of handing over functions between humans by looking at a particular experiment scenario in which the same function has to be handed over multiple times during the experiment session. We hypothesize that the process of function handover is similar to already well-studied human-robot handovers which deal with physical objects. In the experiment, we attempt to discover natural similarities and differences between these two types of handovers and suggest further directions of work that are necessary to give the robot the ability to perform the function handover autonomously, without explicit instruction from the human counterpart.