Sen. Dianne Feinstein, D-Calif., said Wednesday that Petraeus, who resigned from the CIA post on Friday because of an extra-marital affair, indicated his willingness to testify.
"He is very willing and interested in talking to the committee," she said. No date for his testimony has been set.
Feinstein has been among those in Congress who have complained that lawmakers should have been notified about an FBI investigation that led to the disclosure of Petraeus' affair with his biographer, Paula Broadwell.
But she said that Petraeus' testimony to her committee will be limited to the Benghazi attacks that killed U.S. Ambassador Christopher Stevens and three others. Petraeus was CIA director at the time of the attacks and visited Libya afterward.