Nigeria will begin a “gradual easing” of coronavirus-related lockdowns in the federal capital territory of Abuja, and Lagos and Ogun states from 4 May.
The lockdowns had been due to end on Monday night, but President Muhammadu Buhari said they needed to continue.
He also ordered new nationwide measures against Covid-19, including a night-time curfew and mandatory face masks.
The moves would ensure the economy functioned “while still maintaining our aggressive response”, Mr. Buhari said.
Earlier, workers at a construction site in Lagos rioted in protest at the lockdown.
A police spokesman said the workers at the Lekki Free Trade zone – including those at the oil refinery of billionaire Aliko Dangote – went on the rampage and injured several officers in the area. Fifty-one people were arrested, he added.
There are reports that the protesters were angry that some foreign nationals were allowed to go to work at the site.
Nigeria, Africa’s most populous nation and largest economy has reported 1,273 confirmed cases of Covid-19 and 40 deaths.
In a televised address on Monday night, Mr. Buhari acknowledged that the lockdowns in Abuja, Lagos and Ogun had “come at a very heavy economic cost” since they began on 30 March.
“Many of our citizens have lost their means of livelihood. Many businesses have shut down,” he said.
He added: “No country can afford the full impact of a sustained lockdown while awaiting the development of vaccines.”
The president said there would, therefore, be a “phased and gradual easing” of the lockdowns next Monday to allow some economic activities to resume.
But to limit the spread of Covid-19, he announced that the government would impose a curfew across the country between 20:00 and 06:00, require everyone to wear face masks in public, and stop “non-essential inter-state passenger travel”.
Bans on social and religious gatherings will also remain in place.
Mr Buhari also expressed deep concern over the unexplained deaths of a number of people in the northern state of Kano.
He said a lockdown would be imposed there for two weeks with immediate effect and that he was sending a government team to investigate.