A member of House Democratic leadership refused to say Wednesday whether he believes Minority Leader Nancy Pelosi should remain in her leadership role as Democrats try to move on from their loss in last month's special election in Georgia.

"No one person is more important than this country," House Democratic Assistant Whip Rep. Tony Cardenas, D-Calif., said in an interview on CNN. "And the bottom line is this: We need to move forward with our best foot forward, with the best plan, with the best individuals and having the best, honest message."

When pressed on whether Democrats could do that with Pelosi, D-Calif., as the Democratic leader, Cardenas dodged the question.

"As far as I'm concerned, we have to look in the mirror and realize whether we can or can't, and then move forward and make some tough decisions," he said.

Some House Democrats began calling for a leadership change after Republican Karen Handel defeated Democrat Jon Ossoff in Georgia's special election last month. The two were running to fill the seat in Georgia's 6th Congressional District, which was vacated by Health and Human Services Secretary Tom Price.

Cardenas was part of a group of more than a dozen Democrats who met last month to discuss if, and how, they should replace Pelosi ahead of the 2018 midterm elections.

But Pelosi dismissed any notion that she would be replaced and said those calling for her to step down were more interested in promoting themselves.

"When it comes to personal ambition and having fun on TV, have your fun," she said in a news conference last month. "I love the arena. I thrive on competition, and I welcome the discussion."