“Whether she runs or not will not affect my decision,” Biden said during an interview on ABC's daytime talk show “The View.”
“It’s as likely I run as I don’t run,” he added. “I just truly haven’t made up my mind.”
Biden has declined to close the door on a possible run, despite polls showing him a distant second to the former Secretary of State for the Democratic nomination.
Clinton’s supporters have begun laying the groundwork for her to run, but she has sidestepped questions about her future, saying only that she will make a decision in the future.
But the vice president cautioned that Democrats should stay focused on the approaching 2014 midterms.
Gardner to challenge Udall for Senate seat
But then Gardner changed his mind.
Reversing his earlier decision, Gardner, considered a rising star among House Republicans, will run for Senate, according to reports. And Ken Buck, a Republican district attorney who had announced he would seek his party's nomination for the Senate seat, will instead switch races to vie for Gardner's open House seat.
A spokesman for Udall said the senator "looks forward to debating the important issues that impact our future."
With Gardner challenging Udall, the race will present a new opportunity for Republicans to pick up a Senate seat. National Democrats will likely be forced to spend more money on the race than they had planned, and divert attention and resources from other important races.
Udall will likely enter the race favored to win, but not by much. An April survey by Public Policy Polling showed Udall leading Gardner by 10 points in a head-to-head matchup -- but that was before the disastrous rollout of the president's signature health care plan weakened Democrats.
RNC announces cities bidding for 2016 national convention
Eight cities are officially in the running to host the 2016 Republican National Convention, the party announced.
The cities are formally presenting their bids to the selection committee in Washington.
The selection process for the 2016 Democratic National Convention is still in its early stages. Columbus has also begun to gauge support among Democrats, by hosting a cocktail reception with many of the state's political figures in attendance.
Hosting a political convention is an expensive proposition for a city and can cost tens of millions of dollars. But with that investment, a host city generates revenue and receives national attention for a week's worth of convention festivities, culminating in the nomination of the party's candidate for president.
Charlotte, N.C., played host to the 2012 Democratic National Convention, and Tampa, Fla., hosted the 2012 Republican National Convention.