The measure proposed by U.S. Rep. Ted Poe would change the monument's name to the National World War I Memorial in honor of all Americans who died in the Great War, The Washington Times reported.
There is no memorial on the mall for those who served in World War I. A 2003 law essentially bans construction of any new memorials on that strip of federal land.
The name change is opposed by D.C.'s non-voting representative in Congress, Delegate Eleanor Holmes Norton.
"The District of Columbia Memorial is for the people of the District of Columbia and it will never be otherwise," she said.
Proponents said they want to elevate the local memorial ahead of the centennial of the Great War that begins in 2014.
A House subcommittee was scheduled to consider the re-dedication bill Tuesday.