"I wanted to always play it down," the president told Woodward.
The book features a series of other controversial revelations, citing current and former administration officials.
"You would think that the family, or Republicans, would have some kinds of intervention," Pelosi, a California Democrat, said, responding to the president's remarks in an interview with MSNBC.
The Speaker argued that Republicans in Congress will have "doggie doo on their shoes" for the rest of their lives because they enabled the president.
Republican lawmakers, as Pelsoi highlighted, have largely defended the president throughout his tenure in the White House.
Pelosi said that Trump's taped remarks showed his "weakness," arguing that it represented that he didn't know how to "cope with the challenge to our country."
As of Wednesday afternoon, more than 6.3 million Americans have been confirmed infected by COVID-19, the disease caused by the novel coronavirus. »