The former Secretary of State has repeatedly avoided categorically stepping out of the race for the White House next year.
During media appearances in the UK last month, Clinton twice hinted that she could still make a late entry into the field.
Earlier last month when the former First Lady and her daughter Chelsea were promoting their work, The Book Of Gutsy Women, she appeared on BBC Radio Five Live.
Hillary Clinton and her daughter Chelsea on the Graham Norton Show at the BBC in London. The former First Lady refused to completely rule out a late run for the White House
When asked if she would make a run for the White House for a third time, she replied: ‘As I say, never, never, never say never.’
In her latest interview, Clinton was again asked if she would rule out joining the already 18-strong field of Democrat hopefuls.
She conceded she is going to have to make up her mind ‘really quickly’ about whether or not to jump into the presidential race.
Clinton has already missed the filing deadline for the first primary in New Hampshire but there is no deadline for the next caucuses in Iowa in early February.
Responding to Norton, Clinton said she had been ‘deluged’ over the last few weeks thinking about running again, but added that, ‘right now, I’m not, at all, planning that’.
Norton asked: ‘The rumour mill is flying that you could step back into the ring.’
Clinton replied: ‘I hear that. I have been deluged the last few weeks with thinking about doing that, but right now I’m not at all planning that.
During two media appearances in the UK Hillary Clinton did not completely rule out becoming a late entry into the 18-strong 2020 Democrat field
Hillary Clinton appeared alongside her daughter Chelsea Clinton, chef Jamie Oliver and comedian David Mitchell
‘I would have to make up my mind really quickly, because it’s moving very fast. But I do want to continue to influence the debate.’
In reference to her old rival Donald Trump, who defeated her in the 2016 presidential election, Clinton said she still wanted to influence the political debate even if she stayed on the sidelines in 2020.
She added: ‘I’m not leaving the political arena completely, I’m working really hard to make it clear that we have to hold our current leadership accountable.
‘I’m out there all the time pointing out the foolishness and craziness that we are currently experiencing.
‘So I’m not going anywhere, I just don’t know what role I will actually be in.’
Hillary Clinton and daughter Chelsea Clinton during the filming for the Graham Norton Show
The question of her potential candidacy came up when Clinton was asked about one of the subjects in her book, USA soccer star Abby Wambach, who retired with the tagline ‘Forget Me’, in order to leave the public stage and have someone else take her place.
Norton asked: ‘Are you saying ”Forget me” now?’, to which Clinton answered, ‘not yet’, to applause and cheers from the studio audience.
She was also asked by the host if she was optimistic about the future of politics and replied: ‘I am fundamentally optimistic, there’s all these indicators of people trying to push the clock back on the progress we’ve made.
‘So that does worry me but I hope that when it’s all worked out people will say ”there’s things we need to be smarter about, do better about”.’