Jayapal, in an interview with the Associated Press, said she told the president that his suggestion for a lower figure was "too low" and said she would prefer to be "closer to three."
The president’s proposed spending plan, which includes expanded child care, health care, education funding and environmental programs, was $3.5 trillion. The president last week suggested cutting some of the funding back to a range between $1.9 trillion and $2.3 trillion.
Jaypal, D-Wash., though, said she isn’t "drawing any red lines" in negotiations but told the Associated Press "the president knows" progressive Democrats are pushing for a higher amount.
"I said it directly to him, I also said it to his top aides, and we’re going to continue to figure out where we can go," Jayapal said.
She added: "We are fighting for something that will benefit the entire country."
Jayapal, reflecting on her past work as an organizer, told the Associated Press that she came to Congress "on a theory of change that if we really wanted to change politics so that they could work for working people, then we needed to be organizing on the inside."
She added: "And so that’s what I’ve tried to do."
Jayapal said she and her progressive Democratic caucus are "very, very strategic and coordinated" — something she thinks "helped us to become a force."
"It’s something we’ve been working towards for many years, over the last three years, and we’ve made incredible progress," she said.
The Associated Press contributed to this report.