For your consideration ...
Shouldn't this requirement be at the supervisor level to oversee what is going on with those that are his/her responsibility? Writing a weekly report on each worker and the overall workload that has been accomplished by each individual during the week, along with including their own, rather than the workers themselves? Would seem to make more sense which would put the onus on leadership. Seeing how it is the leadership that is ultimately reasonable for watching over those bearing the actual workload. Because most of the time a team, department, or office, is only as good as the person in charge of making sure things, weekly goals, get accomplished.
Just my two cents. Scratch that, no more pennies. Just my nickles worth.