Chief Cabinet Secretary Suga Yoshihide is likely to wait to announce his intention to run to succeed Prime Minister Abe Shinzo until how and when the method of choosing a successor is agreed.
The ruling Liberal Democratic Party is likely to decide on the method of selecting its next leader on Tuesday.
The number of confirmed coronavirus cases continues to rise in the Japanese capital. Tokyo officials say there were 78 new cases on Tuesday.... bringing the total in the capital to more than 500.
Tokyo Governor Koike Yuriko met Prime Minister Abe Shinzo on Tuesday to discuss the situation.
Tokyo Governor Koike Yuriko has urged Japan's prime minister to decide whether to declare a state of emergency to deal with the coronavirus pandemic.
Koike met Abe Shinzo on Tuesday at the prime minister's office.
A Japanese government panel of experts plans to decide in about ten days whether to continue the current measures on fighting the new coronavirus.
Members of a panel of experts met on Monday to review the measures currently in place nationwide based on analysis on their effectiveness. The measures call for cancellations of large-scale events and the temporary closures of schools.