"I would encourage your friends at Planned Parenthood not to sue," Lesko said.
Lesko maintains that her bill actually protects women. She says abortion clinics are the only medical facilities in Arizona that state regulators need a warrant to inspect.
"I mean, for goodness' sake, we even do unannounced inspections of Burger King and McDonald's, but we're not allowing them at abortion clinics?" she asked.
Opponents of the bill say abortion clinics have special protections in place because of past violent incidents involving protesters. They say abortion clinics go through the same inspection process as other providers but that inspections are scheduled.
Rep. Victoria Steele, D-Tucson, said there was no evidence that abortion clinics in Arizona have safety issues.
"This is a bill in search of a problem. It is unnecessary. They are using scare tactics," Steele said.
The House still has to cast a full vote on the bill before it goes to the Senate.