Watch clips from Clinton's speech Tuesday.

NEW YORK (CNN) — Sen. Hillary Clinton said Tuesday night she would make no immediate decision on her next steps after winning the South Dakota primary but failing to pick up enough delegates to win the Democratic presidential nomination.

"In the coming days, I'll be consulting with supporters and party leaders to determine how to move forward with the best interests of our party and our country guiding my way," she told supporters.

Earlier in the evening, CNN estimates gave Sen. Barack Obama enough delegates to put him over the top for the nomination.

Clinton congratulated "Obama and his supporters on the extraordinary race they have run."

"Our party and our democracy are stronger and more vibrant as a result," she said.

Although she stopped short of conceding the race to Obama, Clinton appeared to lay out a case for the vice presidential nomination, noting that she had won nearly 18 million votes and carried "the popular vote with more votes than any primary candidate in history."

"Even when the pundits and naysayers proclaimed week after week that this campaign was over, you kept on voting," she said, adding that she won most of the swing states that would be needed to push a Democratic ticket to the 270 electoral votes to win the presidential election.

"I am committed to uniting our party so we move forward stronger and more ready than ever to take back the White House this November," she said.

Answering the question "What does Hillary want" — asked by many pundits and Obama supporters as the Illinois senator drew closer to the nomination — Clinton said that she wanted "what I have always fought for."

"I want to end the war in Iraq," she said. "I want to turn this economy around. I want health care for every American. I want every child to live up to his or her God-given potential, and I want for the nearly 18 million Americans who voted for me to be respected and heard and to no longer be invisible."