Chicago (CNN) -- A staff member for Rep. Danny Davis, D-Illinois, received an e-mail over the weekend threatening the eight-term Democrat, Davis spokesman Ira Cohen said Monday.

Davis' office has filed a report with Capitol Hill police, Cohen noted. He would not say, however, if Davis had stepped up his personal security.

Cynthia Yates, a spokeswoman for the FBI in Chicago, said the incident was brought to the bureau's attention, but said the FBI is not investigating it at this time.

The threat came in the wake of Saturday's massacre in Tucson, Arizona, in which Rep. Gabrielle Giffords, D-Arizona, was allegedly targeted for assassination. Six people were killed -- including a federal judge -- and 14 were wounded in the shooting. Giffords remains in critical condition.

Davis has public events scheduled Monday in Illinois which he plans to attend, Cohen noted.

The congressman recently withdrew from Chicago's mayoral race.

CNN's Carol Cratty contributed to this report.