So - do you own term or whole life insurance? Why or why not? Is it related to your place of employment?
I have a couple of term policies that, combined with my employer insurance, total about $1.5 million. I have structured things in such a way that my children would receive (in trust) the bulk of the proceeds. I'm divorced, so my situation is a little different than some, but I want to ensure that my kids would be covered financially if something were to happen to me since I provide most of their financial support. As they get older and more financially independent, I will reduce the total amount of insurance.
I think it's a really good idea to have at least some coverage independent of your employer's plan. There is too much uncertainty in employer sponsored life insurance benefits to put all your eggs in that one basket. You could lose your job, your employer could change or eliminate the program, you could become disabled (many employers discontinue life insurance benefits after a certain period of disability), the rates could skyrocket, etc.
Be sure to shop around for the best rate. However, be sure to also pay attention to the issuing company's rating and past performance in meeting its "promise to pay" obligations. All life insurance companies are not created equally.... Oh, and READ the fine print. All of it. Twice, if necessary....