Washington (CNN) House Speaker Nancy Pelosi reiterated Thursday she's "satisfied" with how Joe Biden has responded to a sexual assault allegation from a former Senate staffer despite mounting calls for the presumptive Democratic presidential nominee to more directly address the issue.

Pelosi told MSNBC two weeks ago that she was "satisfied" with Biden's response to Tara Reade's allegation that he sexually assaulted her in 1993 when she was an aide in his Senate office, but in the meantime, Biden has faced increasing pressure to personally address the claim, which has been denied by his campaign.

"Well, I have great sympathy for any women who bring forth an allegation," Pelosi told CNN's Alisyn Camerota on "New Day" Thursday. "I'm a big, strong supporter of the 'Me Too' movement. I think it has been a great -- made a great contribution to our country. And I do support Joe Biden. I'm satisfied with how he has responded."

Asked if Biden should directly address the allegation, Pelosi replied, "You know, it's a matter that he has to deal with."

"But I am impressed with the people who worked for him at the time saying they absolutely never heard one iota of information about this, nobody ever brought forth a claim or had anybody else tell them about such a claim," said Pelosi, who had endorsed Biden on Monday.

Read More