UPDATE 6-Senate to debate COVID-19 bill this week after Democrats retreat on minimum wage

(Adds Sanders statement, comment by Tester on meeting with Biden)

By Susan Cornwell and David Morgan

WASHINGTON, March 1 (Reuters) - The U.S. Senate will start debating President Joe Biden's $1.9 trillion coronavirus relief bill this week, Senate Majority Leader Chuck Schumer said on Monday after Democrats backed down from an effort to raise the minimum wage to $15 as part of it.

The backpedaling did not end hopes of addressing the minimum wage issue in Congress. Democrats and some Republicans have voiced support for the idea of raising the federal minimum wage, now at $7.25 an hour, for the first time since 2009, although they disagree on how much.

Republican Senators Mitt Romney and Tom Cotton last week proposed an increase to $10 per hour, but said employers should verify the wage is going to workers who are legally in the United States.

The Democratic-controlled House of Representatives early on Saturday narrowly approved the COVID-19 package, one of Biden's top priorities. The House bill included the minimum wage hike.

Democrats aim to pass the legislation in the Senate trough a maneuver known as "reconciliation," which would allow the bill to pass with a simple majority rather than the 60 votes normally required by that chamber's rules.

Senate debate on the COVID-19 bill could begin as early as Wednesday, a Senate Democratic aide said.

Senate Democrats over the weekend gave up on the idea of trying to pass the minimum wage hike by adding tax penalties to the COVID-19 bill, after earlier being told that Senate rules governing "reconciliation" prevented them including a straight-up wage hike to the legislation.

There are also political hurdles. Some moderate Democrats, including Senator Joe Manchin, have rejected the $15 figure as too high and suggested an $11 target could be more realistic.

"We worked through the weekend and it became clear that finalizing 'plan B' with the caucus would delay passage and risk going over the jobless benefits cliff on March 14," one source said. Democrats want the COVID-19 bill signed into law by March 14, when enhanced unemployment benefits expire.

A group of House progressives urged Biden on Monday to overrule the Senate parliamentarian, who determined last week that the $15 proposal could not pass by reconciliation.

"This ruling is a bridge too far," said Democratic Representative Ro Khanna. "If we don’t overrule the Senate parliamentarian, we are condoning poverty wages for millions of Americans."

The White House has previously ruled out intervening.