All hype aside, California produces about as much as Texas right now, but I doubt they would increase it, especially offshore.
These figures would indicate otherwise. Do you have a source that contradicts this?
California produces about a quarter of Texas Oil Production.
In Nov 2012 it was 2,139 MBPD to 533 MBPD.
On top of that Texas is climbing fast while California continues to fall in production rates.
Texas Field Production of Crude Oil
http://www.eia.gov/dnav/pet/hist/LeafHandler.ashx?n=PET&s=MCRFPTX2&f=M
California Field Production of Crude Oil
http://www.eia.gov/dnav/pet/hist/LeafHandler.ashx?n=PET&s=MCRFPCA2&f=M
Nope. Texas is in first place, North Dakota second. California is in the top five or six, though.