Kirsten Gillibrand

Senator Kirsten Gillibrand appears on "Late Night with Seth Meyers" Feb. 21, 2017.

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Who will make a bid for the White House in 2020? President Donald Trump has already made it clear he's seeking re-election, holding a rally this past weekend in Florida and previously announcing a campaign slogan: "Keep America Great."

Sen. Kirsten Gillibrand (D-N.Y.) has been an outspoken critic of Trump, but says she won't be challenging him in the next presidential election. Gillibrand told Spectrum News NY1 on Tuesday that she plans to serve a six-year term as senator if re-elected next year.

"I am entirely focused on running in 2018. I feel honored and privileged that I get to serve this state as their senator, and I feel like as their senator, I can fight on all of these issues," she said. "So I would very much like to be re-elected and serve my term."

Gillibrand made similar promises earlier this month that she wouldn't run for president in the next election.

The New York Democrat's name has reportedly been floated as a possible candidate for her party in the 2020 race after she voted against 12 of the 14 Trump nominees confirmed by the U.S. Senate. She and Sen. Charles Schumer (D-N.Y.) have also spoken against Trump's travel ban on immigrants from seven Muslim-majority countries.

"Well what's happening right now is, unfortunately, President Trump keeps doing horrible things. Literally horrible things. So we have to fight it," Gillibrand told late-night host Seth Meyers on Tuesday. She also spoke about her views on gun control and her support for the Women's March.

But for the presidential race, Gillibrand says Gov. Andrew Cuomo would be a "great candidate" for the Democratic Party nominee in 2020.

"He's a great governor," she told Spectrum. "He's done great things in our state. I love the fact that he's focused on paid leave and marriage equality, so he's a terrific governor."

Other rumored potential challengers for the White House include Sens. Cory Booker (D-N.J.) and Elizabeth Warren (D-Mass.).