A White House spokeswoman did not immediately respond to a request for comment.
Steyer, 60, founded the hedge fund Farallon Capital before retiring in 2012. He then launched NextGen America, a political organization that supports liberal positions on climate change, immigration and health care, among other issues.
Steyer has funneled millions of dollars into Democratic candidates and causes.
Trump’s impeachment appears highly unlikely because his Republican Party controls both chambers of Congress.
Even Democratic congressional leaders have shown no interest in impeaching Trump yet.
Rep. Al Green, D-Texas, has introduced articles of impeachment against Trump, though those are not expected to gain traction.
In a letter earlier this month, Steyer urged Democratic lawmakers and candidates to support Trump’s impeachment.
In a statement, Republican National Committee spokesman Michael Ahrens called impeachment a “baseless radical effort that the vast majority of Americans disagree with.” He said the party will focus on economic growth and tax cuts.