(CNN) Two resolutions in the House to censure GOP Rep. Steve King over racist comments have been referred to the House ethics committee rather than getting a vote on the House floor Wednesday, despite pushback from some Democratic members.

When Democratic Rep. Bobby Rush, who proposed one of the resolutions, brought it up on the House floor Wednesday night, House Majority Leader Steny Hoyer made the move to refer it to committee. Rush did not object.

Rush told reporters he got a commitment from leadership that if King makes offensive remarks in the future, leadership will let Rush move forward with a censure resolution and get a vote.

A spokesman for Pelosi's office did not return a request to comment on any commitment.

On Tuesday, the House voted on a resolution of disapproval of white nationalism and white supremacy , an indirect rebuke of King's recent comments where he appeared to question why words such as "white nationalist, white supremacist" were considered offensive. That resolution did not go as far as a censure, which would be a stronger reprimand.

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