Hillary Clinton has said she'd consider 2020 race if she thought she could win: report

Former Secretary of State and 2016 Democratic presidential nominee Hillary ClintonHillary Diane Rodham ClintonAs Buttigieg rises, Biden is still the target Harris rips Gabbard over Fox appearances during Obama years Steyer, Gabbard and Yang shut out of early minutes of Democratic debate MORE has privately said that she would consider entering the Democratic primary if she saw a scenario in which she could win, The New York Times reported.

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Clinton is skeptical that such a scenario exists, however, according to the newspaper. 

The Times offered the report in a lengthy story about Democrats' fears of whether the candidates they have in the 2020 race are capable of beating President TrumpDonald John TrumpFive takeaways from the Democratic debate As Buttigieg rises, Biden is still the target Leading Democrats largely pull punches at debate MORE.

It also reported that Michael BloombergMichael Rubens BloombergBloomberg to spend millions on voter registration campaign 'Iowa Pete' poll exposes myth that Democrats are veering left The Hill's Morning Report - Wild Wednesday: Sondland testimony, Dem debate take center stage MORE, the former New York City mayor who has flirted with running for president, has also said he would consider entering the race if he saw a path to victory.

In these conversations, both Clinton and Bloomberg have indicated they are skeptical there would be a path for them to win the Democratic primary, according to the Times.

The newspaper reported that the two have made these remarks in private conversations in recent weeks. 

Former first lady Michelle ObamaMichelle LeVaughn Robinson ObamaMichelle Obama receives Grammy nomination for audio version of memoir Hundreds turn out to see Michelle Obama on one-year anniversary of 'Becoming' Michelle Obama presents Lin-Manuel Miranda with National Portrait Award MORE, who has repeatedly ruled out a run for office, and Sen. Sherrod BrownSherrod Campbell BrownHillicon Valley: Commerce extends Huawei waiver | Senate Dems unveil privacy bill priorities | House funding measure extends surveillance program | Trump to tour Apple factory | GOP bill would restrict US data going to China Senate Democrats unveil priorities for federal privacy bill On The Money: Trump asks Supreme Court to block Dem subpoena for financial records | Kudlow 'very optimistic' for new NAFTA deal | House passes Ex-Im Bank bill opposed by Trump, McConnell MORE (D-Ohio), who has also said he would not run for president, are other Democrats for whom some in the party are pining, according to the story.

Brown acknowledged to the Times that he has faced more pressure from Democratic officials, donors and organized labor to run, describing it as having "become more frequent."

The Times also talked to former Massachusetts Gov. Deval Patrick (D), who also said he'd been asked by friends to reconsider running for president.