WASHINGTON — Even as President Joe Biden meets with senators and works the phones with Capitol Hill to push for a $1.9 trillion COVID-19 relief package, his team is increasingly focused on selling the plan directly to voters.

His administration has done 60-plus interviews with national TV and radio shows. There have been spots on local TV news and briefings last week with more than 50 groups including General Motors, Meals on Wheels America and Planned Parenthood. One of the main goals is to stop people from getting bogged down in the tangle of partisan deal-making and convince them that every penny of the “go big” package is needed.

“The public is not getting caught up in process — what they want is results,” said Cedric Richmond, the White House director of public engagement. “People these days are not worried about the inside-the-beltway terminology. They’re looking at who’s doing what to help.”

Biden has suggested he may be flexible on the $1.9 trillion topline figure for the plan and on ways to more narrowly target who gets direct payments. But the $1,400 amount — on top of $600 in payments approved in December — appears to be nonnegotiable.

“I’m not going to start my administration by breaking a promise to the American people,” he said.

Senators were poised for an all-night session, dubbed “vote-a-rama,” to consider dozens of amendments that could further define the contours of the eventual virus and economic aid bill. Democratic Sen. Joe Manchin of West Virginia has partnered with Republican Sen. Susan Collins of Maine on a measure that could prevent upper-income taxpayers from qualifying for Biden’s proposed $1,400 direct payments.

The package comes after $4 trillion in rescue spending that cushioned the financial blow from the pandemic. It includes politically divisive provisions such as a $15 hourly minimum wage and $350 billion in aid for state and local governments. Ten Republican senators countered with a $618 billion package. Even Republicans who are supportive of some kind of aid are telling their voters Biden’s plan is too expensive, and people may think stimulus dollars are being wasted.