It was also learnt that some members of the ruling All Progressives Congress had also thrown their hats in the ring, though a candidate favoured by the national body could be chosen.
TruetellsNigeria reports that former occupant of the position, Bayo Osinowo, died last month after a brief illness said to be connected with COVID-19.
According to the law, the Independent National Electoral Commission has 90 days to conduct a by-election after the National Assembly declares the position vacant.
The leading aspirants included a former governorship candidate of the Action Democratic Party, Babatunde Gbadamosi; the last PDP flag bearer for the position, Princess Abiodun Oyefusi; a public relations expert, Adedipe Shobajo, among others.
The spokesperson for the Lagos PDP, Taofik Ganiu, said his party would ensure it fielded the best candidate.