The bill proposed by Miriam Onuoha also has provisions to punish abusers and violators.
The exercise is in a bid to curtail the spread of the virus among its citizens, especially public servants, the government says.
The number of daily coronavirus infection has been on the rise recently affirming reports on the second wave of the pandemic.
Lagos has always topped the list of the recorded COVID-19 cases nationwide.
It is unclear if the deputy governor himself had earlier contracted the virus.
Mr. Ikrama lauded the completion of the Lafia Infectious Diseases Diagnostic and Research Development Centre.
He tested positive for the coronavirus just before he was due to receive the second dose of the vaccine.
100,000 doses of the vaccines expected to arrive the country later this month.
China has been widely blamed for the outbreak of the disease.
The figure also showed that the infection rate has continued to soar across the country.
