The legislators raised concern that the ban would disadvantage candidates participating in the polls.
Protests broke out on Tuesday, just hours after the artiste was shot dead.
Separate political formations once sought unity in the land devastated by years of war today.
Twenty seven foreign truck drivers who tested positive for the virus were not allowed into the country.
Hachalu Hundessa's political songs gave voice to the Oromo's longstanding sense of marginalisation.