Law enforcement sources told the newspaper Condit is expected to testify before the D.C. Superior Court grand jury early next month.
The grand jury is looking into what happened to Levy and allegations of obstruction of justice involving the 53-year-old congressman and possibly others, law enforcement sources told the Post.
Levy disappeared from Washington on or around April 30.
Condit -- who was never named by police as a suspect in Levy's disappearance -- has said he knows nothing about Levy's disappearance and has been pilloried by media organizations dishing out intrigue and innuendo. Levy had been linked to Condit, but the congressman has refused to say whether he had an affair with the 24-year-old woman.
The lawmaker, who had not lost an election since 1971, was trounced in the Democratic primary earlier this month, losing to a one-time protege, state Assemblyman Dennis Cardoza.
Condit's stinging defeat put an end to a 30-year career which collapsed in a media frenzy last summer after Levy vanished.
Through it all, Condit refused to give the public -- or his voters -- a full account of his links to Levy, a stonewalling tactic that quickly cost him support both among Democratic allies in Washington and voters at home.
D.C. Police Chief Charles Ramsey told the Post there were no new leads in the Levy case