The Chicago Sun-Times reports that two notary publics say their names were forged on mayoral nominating petitions.
Reporters asked for Daley's reaction Saturday.
"There should be a federal investigation, state investigation. If I did that, the feds would be right after me tomorrow. They'd be chasing me down the street. 'Mayor Daley did this.' That's a federal investigation. When you're a candidate, you have to make sure that these petitions are correct. That's your responsibility. That's number one," said Daley.
The mayor spoke after joining other officials at a ribbon-cutting ceremony for the new Valley Forge Park field house on Chicago's Southwest Side.
The 10,000-sq.-ft. park facility is described as state of the art and environmentally friendly.