DEA license after furnishing issued in California


I have had my CA furnishing license for 2 years but never got my DEA license since I was not prescribing controlled substances at my former position.  I am starting a new job and they would like me to obtain DEA license for which I have applied.  Do I need to inform the BRN and/or update my furnishing license once my DEA is issued? Thanks in advance- I'm trying to avoid contacting CA BRN.