Story highlights Jim Webb is holding a news conference to discuss running as an independent Tuesday

Webb complained about not being allowed enough time in the first Democratic debate

Washington (CNN) Jim Webb is holding a news conference Tuesday to announce he is considering running for president as an independent -- rather than a Democrat.

The former Virginia senator complained repeatedly during last week's first Democratic presidential debate that he wasn't being given enough time to speak. Former Secretary of State Hillary Clinton and Vermont Sen. Bernie Sanders -- the two contenders dominating in the polls -- were the focus of attention, he contended.

Webb is holding his news conference at 1 p.m. ET at the National Press Club.

His campaign is billing it as a discussion of "his candidacy, the campaign and his views of the political parties in the current election cycle."