Trump, in nationwide polls conducted recently, was seen not only giving stiff competition to former Vice President Joe Biden but also leading the race of 2020 elections against Warren, Sanders, Buttigieg, and Harris.
In Arkansas, another Super Tuesday state, a Democratic Party spokesperson said a person representing a "mystery candidate" reached out Thursday afternoon asking about the requirements to join the ballot.
But polling of likely Democratic primary voters generally indicates satisfaction with the candidates who make up a historically large and diverse field.
Bloomberg, who was formerly a Republican, appeared onstage at the Democratic National Convention in Philadelphia in July and railed against Trump.
He continued: "He's not going to do well, but I think he's going to hurt Biden actually".
He endorsed Hillary Clinton in that race and, in a speech at the Democratic Party convention, described Mr Trump as a con who has oversold his business successes.
Trump says Bloomberg "doesn't have the magic to do well" and predicts Bloomberg will fail after spending "a lot of money". "I have no, no problem with him getting into the race". Instead of making President Trump nervous, it sounds like Bloomberg is just another contender for him to mock.
Alabama has the earliest filing deadline among Democratic primary states, with Friday being the last day to do so ahead of its March 3 contest.
Polls suggest that Democrats neither want nor need a Bloomberg candidacy, and his strategy seems seriously flawed. "If I'm not mistaken, I'm doing pretty well both relative to Trump and relative to all the people running in the Democratic primary". But the two party leaders added they "are certain" voters in their states and other early states "are eager to ask Michael Bloomberg about his plans to move our states and our country forward".
But why is Bloomberg expected to file for a presidential campaign?
Former Vice President Joe Biden welcomed businessman Michael Bloomberg potentially jumping into the Democratic primary, dismissing the notion that it's a reflection of his performance in the race.
Bloomberg, a Republican-turned-independent who registered as a Democrat previous year, has flirted with a presidential run before but ultimately backed down, including in 2016.
Still, his advisers acknowledge his late entry to the race could make competing in states like Iowa and New Hampshire, which have been blanketed by candidates for almost a year, difficult.
This isn't the first time that he's eyed a run at the presidency, only to eventually decide against.