Washington (CNN) Bill Browder, an American-born financier who's a prominent critic of Russian leader Vladimir Putin, said Thursday that he wants President Donald Trump to know that turning him over to Russia would amount to a death sentence.

"To hand me over to Putin is basically to hand me over to my death," Browder said during an interview when CNN's Kate Bolduan asked him on "At This Hour" what he would say to Trump if he had the opportunity.

Putin mentioned Browder by name on Monday at a news conference with Trump in Helsinki, Finland, where the Russian President suggested that special counsel Robert Mueller's investigators come to Russia to question the two dozen Russians who have been charged with interfering in the 2016 presidential election. But in return, Putin said, he would expect the US to allow Russian investigators to question what he called fugitives on American soil.

The White House said later Thursday that Trump now disagrees with the proposal , despite the fact that a day earlier the White House had indicated it was entertaining the idea.

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Speaking in an interview later Thursday on CNN's "Erin Burnett OutFront," Browder said he could "hardly" call the White House statement a victory given the time it was under consideration.

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