Can you drop spouse's insurance coverage for a better deal between open enrollment periods?

At Open Enrollment (yours or his) you can make a switch to one or the other. Between those times, most plans will not allow you to make a change of coverage unless you have a life event (ie job loss, marriage, death). So if you want to drop your spouse's insurance during your open enrollment, you probably can do so. Check with your company's human resource/benefits department.