Los Angeles Mayor Eric Garcetti said on Monday that his administration is “not going to sit back” when it comes to convincing CBS to keep production of “Late Late Show” in the city.

Under Craig Ferguson, the show has been shot at CBS Television City on Beverly Boulevard. But the network has not made any announcement about where the new host, James Corden, will be located.

Although state lawmakers recently approved a bill that more than triples the size of TV and film tax credits, talk shows like “Late Late Show” are not eligible. But Los Angeles could try to devise some other package of incentives.

New York did just that when CBS announced that Stephen Colbert would succeed David Letterman as host of “Late Show.” Instead of a package of production credits, the show received a $15 million package of incentives geared to high tech job creation and the renovation of the Ed Sullivan Theater, where the show is based.

Garcetti said, “We’re not going to sit back. I’m going to keep being aggressive about pursing every opportunity to protect and create industry jobs, and our success in expanding the tax credit will be a huge boost moving forward.

“I have made protecting and expanding our signature industry a key component of my ‘back to basics’ agenda to strengthen our economy and make government work better. Now that the film tax credit is being expanded, my office’s focus will turn to cutting red tape to make L.A. the film friendliest location possible.”