The Games were postponed last week and the delay is the first in the 124-year history of the modern Olympics.
Infections on Friday rose by a daily record 102, said public broadcaster NHK. Tokyo reported 40 new cases on Friday, bringing its total to 299.
Abe was speaking to reporters after a phone call with IOC President Thomas Bach on postponing the Games amid growing concerns over the coronavirus pandemic.
With medal hopes growing, blue-and-white gets Tokyo commitment from 4-time MLB All-Star.
Prime Minister Shinzo Abe has staked his legacy as Japan's longest-serving premier on the Games and is hoping for a boom in tourism and consumer spending.
The torch relay in Greece was canceled to avoid drawing crowds.
Haruyuki Takahashi, one of more than two dozen members of the Tokyo 2020 executive board, said the body had just started looking at scenarios for how the virus could affect the Games.
Five months before the opening ceremony in Tokyo, health authorities around the world are scrambling to contain outbreaks of the flu-like virus.
Israeli Olympians have plenty to shoot for in Tokyo, Baseball team to be compensated as a group
Team Israel, Israel's national baseball team, provides inspiration to both Israelis and Diaspora Jews who take pride in its achievements