"I'm going to keep focused on Donald Trump, because I will be the nominee, I will be running against Donald Trump in the fall and I do not want Americans and, you know, good-thinking Republicans, as well as Democrats and Independents, to start to believe that this is a normal candidacy. It isn't," she said.
"I said that if we don't respond to Donald Trump, which I am doing, as you have seen. I've said he was unqualified to be president. I believe that deeply," Clinton said.
Meanwhile, a latest opinion poll showed that a Clinton-Trump fight is headed towards a dead end as the former Secretary of State is leading the real estate tycoon by just three percentage points in a hypothetical November matchup.
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That represents a much tighter margin than her 11-percentage-point lead in April and marks the first time in Journal/NBC News polling this year that her support has dropped below 50 per cent in a matchup with Trump.
In an interview to MSNBC, Clinton said she is ready to talk to Senator Bernie Sanders of Vermont, her Democratic rival, whenever he is ready to talk.
However, Sanders told CNN that he is still in the race and Clinton is "jumping the gun".
"Oh, I don't think so. I think that Senator Sanders has every right to finish off his campaign however he chooses. I do think there will then be the obvious need for us to unify the party. I faced the same challenge in 2008. I will certainly do my part, reaching out to Senator Sanders, reaching out to his supporters. And I expect him to do his," she said.