Despite his rising profile in the Democratic Party, U.S. Rep. Joe Kennedy III, D-Brookline, offered this week that he does not plan to follow in the footsteps of his grandfather, Robert Kennedy, or great-uncle, John F. Kennedy, and pursue a White House bid in 2020.

The 37-year-old congressman, however, told Politico's "Off Message" Podcast that he hopes several Democrats -- including U.S. Sen. Elizabeth Warren, D-Massachusetts -- jump into the upcoming presidential race and have a "big, messy primary."

Kennedy, who recently gave the Democratic response to President Donald Trump's first State of the Union Address, said he doesn't see a possible 2020 or 2024 White House run "happening."

But, the congressman joked that he would reconsider his stance if asked to join Oprah Winfrey's ticket as a vice presidential running mate.

"That might do it, if I can sail in as Oprah's VP," he said in an interview released Tuesday. "So Oprah, if you're listening, go for it. Short of that, I'm not holding my breath."

Contending that the party's message and choice of a messenger will be important in 2020, Kennedy said Democrats have to figure who is best suited to represent it to be successful in the upcoming presidential contest.

The congressman added that it's "fine" and not unexpected that the party hasn't quite figured that out yet.

"You're a year -- 14 months -- after a stunning election and one that most Democrats thought (Hillary) Clinton was going to win and there was going to be a system put in place," he said. "We've got to shake that up."

Kennedy said he thinks the Democratic Party needs to have a large field of presidential primary candidates in 2020, similar to how Republicans approached 2016, in order to find that messenger.

"I think what the party needs to do is to have a competitive primary, which I expect we're going to have, and have these candidates fight it out and debate it out to see who actually has their thumb on the pulse of the American public," he said.

When asked if he'd like to see former Vice President Joe Biden seek a 2020 White House bid, Kennedy said he'd like to see "everyone run."

He further dismissed concerns that Warren, his former professor, would bring the party in too liberal of a direction if named the 2020 Democratic nominee.

"I think she's fantastic, I'm a big supporter of hers and I have a strong affinity for her. I don't know if she wants to run for president, I don't know if she's going to run for president ... I think in very short order she has become an extraordinary force for the Democratic Party," he said.

Kennedy added that "should she seek to run, I think she would be a great president, I think she would do a great job."