The 81-year-old president has told his party it is time to “come together” after a shaky debate performance against Donald Trump last month led to concerns about his capability to run.
Joe Biden has said he is “not blind” to concerns about his age but has told critics it is “time to end” speculation about his future in the US presidential race.
In a letter to Democrats in Congress, the US president said he was “firmly committed” to his re-election campaign and vowed to remain in the contest against Donald Trump.
“I want you to know that despite all the speculation in the press and elsewhere, I am firmly committed to staying in this race, to running this race to the end, and to beating Donald Trump,” Mr Biden wrote.
The president ends his letter by saying: “The question of how to move forward has been well-aired for over a week now. And it’s time for it to end.”
Around the same time the letter was published, the US president phoned in to MSNBC’s Morning Joe program and said he is confident the “average voter out there” still wants him on the Democrat ticket.
Mr Biden said: “I am not going anywhere.”
He added that losing is “not an option” in the upcoming election and that he hasn’t “lost to Trump”.
Mr Biden also told MSNBC he is not going to “explain any more about what I should or shouldn’t do”, saying: “I am running.”
Performance described as ‘slow-motion car crash’
There have been concerns about the health and capability of the 81-year-old president after a shaky performance in a debate with Trump last month.
Democrats described Mr Biden’s performance as an “unmitigated disaster”, “a meltdown”, and “a slow-motion car crash”.
Even some of Mr Biden’s closest political allies, including the former speaker of the US House of Representatives Nancy Pelosi, have raised questions about his health.
Mr Biden was hesitant during the debate, sometimes stumbling over his words and at one point appearing to freeze, less than 10 minutes in.
At one point, he attacked Trump over having the largest national debt of any president and insisted he would fix the tax system. But while saying his administration was “making sure that we’re able to make every single solitary person eligible for what I was able to do with the COVID,” Mr Biden stumbled.
He continued to say “excuse me – with dealing with everything we have to do with – look – if we finally beat Medicare,” before pausing until the end of his allotted time.
Biden ‘frustrated’ by calls from party officials
The US president has said he is “frustrated” by calls from party officials for him to step aside.
“They’re big names, but I don’t care what those big names think,” Mr Biden said.
He also said those in the party who are calling for him to quit should “challenge me at the convention”.
The Democratic National Convention in August is when delegates will officially select the party’s presidential and vice presidential nominees.