Some of the employees who would be out of work were already furloughed earlier this year because of sequestration.
Staff Sergeant Randall Lane of Indianapolis died at Camp Phoenix on Friday.
The bill would create a tiered system for hiring federal employees that rewards National Guard members for their service even if they haven't deployed overseas.
Members of the Indiana National Guard are facing one day of furloughs per week between now and the end of September.
Col. Wayne Black is being promoted to become the Indiana National Guard's first African-American brigadier general.
Officials say the state should be able to absorb the cuts because it is in good fiscal condition.
The Indiana National Guard may have to lay off or put some employees on furlough if national budget cuts take effect March 1.
The National Guard unit is made up of flight medics.
The 81st troop will move from Indianapolis to Terre Haute.
Indiana native Aarronn Fields was killed in Afghanistan on May 21.