I Take A Very Low Dose Of Hydrocodone 7.25 1

I take a very low dose of hydrocodone 7.25 1 or 2 times daily for a chronic shoulder problem.
My physician has just put me on valium, 2mg 1 or 2 times daily as needed, to counteract anxiety and occasional muscle spasms. Since they are both very low doses, is it a problem to take both? I assume my doctor would not have prescribed the valium if he thought it would present problems with the hydrocodone?
Thanks so much.