GOP strategist Liz Copeland on Tuesday said that President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE may not have the entire confidence of the Republican Party ahead of 2020.

"We need to solidify behind someone who can kind of keep us together, hold the party together, and I'm not quite sure that he has the full confidence of the entire Republican Party," Copeland, a former Democrat and the president and founder of Urban Conservative Project, Inc., told Hill.TV's Krystal Ball and Buck Sexton, on "Rising."

Copeland, who has been a critic of the president in the past, was making reference to a new American Barometer survey that found 72 percent of respondents said they wanted Trump to face a primary challenger in 2020.

Of the Republicans polled, 43 percent said they wanted the president to be challenged by a member of his own party.

Copeland said that Democratic successes in last week's midterm elections have Republicans worried about the role of Trump in the party.

"While it may not have been a blue wave, it was certainly a blue something. It was a blue splash. There's something that's coming, and I think that from the president's behavior in Paris, the way he responded to Republican members of Congress who lost, his decision to remove another Cabinet member," she continued.

Sen. Jeff Flake Jeffrey (Jeff) Lane FlakeHow fast population growth made Arizona a swing state Jeff Flake: Republicans 'should hold the same position' on SCOTUS vacancy as 2016 Republican former Michigan governor says he's voting for Biden MORE (R-Ariz.) on Friday would not rule out a primary challenge against Trump, stressing that he thinks a Republican needs to mount a primary challenge to the president.

"I've not ruled it out. I've not ruled it in. Just, somebody needs to run," Flake told reporters.

The American Barometer was conducted on November 9-10 among 1,000 registered voters. The sampling margin of error is plus or minus 3.1 percentage points.