The next election cycle for Senators could put two members of America's biggest political families in competition against each other.

It's rumored that if Sen. Kirsten Gillibrand actually runs for president in 2020, that the contenders for her Senate seat representing the state of New York include two former first daughters - Chelsea Clinton and Caroline Kennedy.

'What you're witnessing is the beginning of Chelsea Clinton's political career,' a source, who has a relationship with both the Clinton and Kennedy families, told the New York Daily News.

Competitors?: The next election cycle for Senators could put two members of America's biggest political families, Chelsea Clinton (left) and Caroline Kennedy (right), in competition against each other

It's rumored that if Sen. Kirsten Gillibrand (above) actually runs for president in 2020, that the contenders for her Senate seat representing the state of New York include Chelsea and Caroline

'Chelsea had that Twitter war with Kellyanne Conway — she's engaging in the political arena.'

The 36-year-old former first daughter took on Conway for increasing fear by discussing terror attacks that never happened on national televisions shows.

Conway, who is President Donald Trump's spokeswoman, hit back by saying that Trump is now the president since Hillary Clinton lost the election while saying 'you can't invent quality candidates either'.

In addition, Chelsea has seemingly been very active on her personal Twitter account sharing and retweeting messages about the current administration.

The current Senator in the seat Chelsea and Caroline could compete against was actually appointed to it.

Gillibrand first served in the House from 2007 until 2009 representing the Hudson Valley when she filled the seat that belonged to then-senator Hillary Clinton, who stepped down to become secretary of state.

The 36-year-old former first daughter took on Kellyanne Conway on Twitter (above) for increasing fear by discussing terror attacks that never happened

Conway, who is President Donald Trump's spokeswoman, hit back on Twitter (above) by saying that Trump is now the president since Hillary Clinton lost the election while saying 'you can't invent quality candidates either'

Some democrats are speculating that due to Gillibrand's strong opposition against Trump, that she'll run for the White House in 2020.

If that happens, her successor to the empty Senate seat would be selected by the governor.

Chelsea nor Caroline would have to launch an actual election to fill the seat.

Back in 2009, the daughter of John F. Kennedy and niece of New York Sen. Robert F. Kennedy expressed interested in the empty Senate seat Clinton vacated.

But she withdrew her name for 'personal reasons' before then-Gov. David Paterson appointed Gillibrand to the position.

The 59-year-old, who just finished serving as President Obama's ambassador to Japan, appeared on NBC's Today show last week where she was asked about her future plans and if that included her running for an elected position.

'I've just gotten home a week or so,' Kennedy replied to host Matt Lauer. 'I'm looking around to figure out what I would do next.'

Mother-of-two Chelsea told Sky News in 2015 that she'd 'absolutely' consider running for office one day.