State Representative Kathy Stein plans to introduce the bill in January.
Governor Ernie Fletcher's administration has blocked state employees from surfing entertainment, online auctions and humor Web sites. Last month, the state also blocked employees from viewing a political commentator's Web site.
The bill will not interfere with the right to block pornographic or gambling Web sites.
Spokeswoman Jill Midkiff says the state blocked numerous Web sites to boost efficiency.