The bills passed out of committee unanimously last year, but have yet to make it to the floor.
Past legislation to rein in the power of major platforms has languished.
He faced more questions today on Chinas influence over the platform.

Mark Zuckerberg, CEO of Meta, speaks directly to victims and their family members during a Senate Judiciary Committee hearing.Photo by Anna Moneymaker/Getty Images
Senator, I am Singaporean.
No, Shou Chew responded.
He then pressed him on whether the Chinese government is committing genocide against the Uyghur people.

He later said that he would not comment on any world leaders.
As the day went on, Zuckerberg seemed to face even more blunt questioning.
Does your user agreement still suck?
Would you like to apologize for what you have done to these good people?
Zuckerberg stood up from his chair, turned around and addressed those in the audience.
Some family members held up pictures of their children who were victimized online.
Hawley, though, continued to press Zuckerberg on whether Meta should offer compensation to the families.
Why should your company not be sued for this?
On CNN, Dana Bash told viewers that it was a moment for the ages.
Later, a Meta spokesperson released Zuckerbergs full remarks to the families.
Im sorry for everything you have all been through, he said.
She said that parents already face a blizzard of technology when it comes to trying to protect their kids.
She backs legislation that would boost criminal enforcement and increase platform liability.
She expressed frustration that little has been done already.
Everyone is double talk, double talk until legislation is stalled due to industry lobbying.
So the bottom line is, you cant be sued.
You should be, and these emails would be great for punitive damages, Graham said.
Zuckerberg stared intently at Graham as he faced his criticism.
In the background of the hearing, demonstrators held photos of children who have been victims of online exploitation.
The hearing started with a video in which victims told of being sexually exploited online.
A mother stared into the camera and said that her child died from suicide after being exploited on Facebook.
Others told of futile efforts to get platforms to act.
How many more kids will suffer and die from social media?
Major cable news networks carried portions of the hearing, including Zuckerbergs opening statement.
He and other CEOs acknowledged the problem, but tried to emphasize the safety measures that they have taken.
Yaccarino said that less than 1% of users on X were between the ages of 13 and 17.