Schools could remain open even as restrictions on people's movements become more severe, BFM TV added.
France imposed a night-time curfew on major cities, including Paris, two weeks ago running from 9 p.m. to 6 a.m., but the Covid-19 figures have continued to worsen.
Official data on Tuesday showed that France had reported 523 new deaths from Covid-19 over the past 24 hours, and 33,417 new confirmed Covid cases.
France has registered a total of 35,541 deaths from Covid-19 and 1,198,695 confirmed Covid cases.
The prospect of a new lockdown also hit the French stock market, with Paris' benchmark CAC-40 index falling by 2.8 percent by 0940 GMT, while travel and leisure stocks such as Air France KLM and hotels group Accor also slumped.
France must accept new national lockdown, says hospital professor
Professor Philippe Juvin, a leading member of Paris' Georges-Pompidou hospital, told RTL radio on Wednesday that France had to accept a new, national lockdown to tackle a resurgence of the Covid-19 virus.
"We must take it up," said Juvin.
French President Emmanuel Macron will give a televised address on Wednesday evening. His government has been exploring a new, national lockdown from midnight on Thursday, BFM TV reported, albeit a slightly more flexible one than the two-month shutdown that began in mid-March.
Schools could remain open even as restrictions on people's movements become more severe, BFM TV added.
France imposed a night-time curfew on major cities, including Paris, two weeks ago running from 9 p.m. to 6 a.m., but the Covid-19 figures have continued to worsen.
Official data on Tuesday showed that France had reported 523 new deaths from Covid-19 over the past 24 hours, and 33,417 new confirmed Covid cases.
France has registered a total of 35,541 deaths from Covid-19 and 1,198,695 confirmed Covid cases.
The prospect of a new lockdown also hit the French stock market, with Paris' benchmark CAC-40 index falling by 2.8 percent by 0940 GMT, while travel and leisure stocks such as Air France KLM and hotels group Accor also slumped.