However, the bill is almost certain to damage Sky if it becomes law.
The broadcaster's communications director, Kirsty Way, said Sky paid sports teams $120 million last year for the rights to broadcast their games. The teams obtained that money in an open and competitive market which would vanish under Mr Mitchell's proposals.
"It's not something we do agree with," she said. "There's questions over how it will be funded - diverting money away from healthcare and education."
Mr Mitchell submitted the bill in 2014. In December, it was randomly selected to go through processes that could see it become law.
Examples of proposed free-to-air events:
- Rugby World Cup games
- Domestic All Blacks tests
- Super Rugby final
- Netball World Cup matches
- Cricket World Cup matches
- Domestic Black Caps one-day cricket games
- Rugby League World Cup games
- All Whites World Cup football games
- Australian National Basketball League Grand Final
- Summer Olympic Games
- Winter Olympic Games
Source: Broadcasting (Games of National Significance) Amendment Bill