Yoshiro Mori quit as committee president last week after saying that women talk too much, dealing another blow to an Olympic Games already marred by a year-long delay and strong public opposition due to the coronavirus pandemic.
The panel will ask Hashimoto if she wants to take the position, NHK said.
"The selection panel is moving towards asking her," it said.
Kyodo news agency said the Tokyo 2020 organising committee would meet on Thursday to select a new president.
Hashimoto declined to comment on the report.