SACRAMENTO, Calif. -- The rush to repeal a Jan. 1 law giving drivers' licenses to undocumented immigrants continued Tuesday with a key state Assembly committee also voting to overturn the law.

The Assembly Transportation Committee's 15-0 vote sets the stage for a full Assembly vote expected next Monday. State senators voted 33-0 Monday to repeal the law in the face of widespread public opposition.

The bill's author, Sen. Gilbert Cedillo, D-Los Angeles, asked his colleagues Monday to repeal SB-60. He had worked for years to pass the measure.

Cedillo said on Monday that he had "a very good meeting last week with the governor to discuss a replacement drivers' license bill next year." The new bill is expected to add more security and background checks to the application process.

"I am trusting this process. I am placing my confidence and trust with the governor that we will work to resolve this. And I believe his commitments are sincere," Cedillo said Monday.

Supporters of the bill say the law will make California roads safer by ensuring immigrants pass a driving test and have car insurance. But critics say SB-60 raises security concerns, and it could allow terrorists to get a widely accepted form of identification.