Dear Liz: My husband doesn’t qualify for term life insurance because he is overweight and pre-diabetic. Although he’s working on getting in shape, I’m afraid something might happen. I should add we have a 3-year-old daughter, and he is the main breadwinner.

What would you suggest we do to ensure we are covered if something were to happen?

Answer: Just because your husband was turned down by one insurer doesn’t mean others won’t accept him. Even people who are obese or who have diabetes can find coverage, so your husband shouldn’t accept that he’s uninsurable.

Look for an independent agent or broker who works with several companies rather than a captive agent who works for just one or two. A fee-only financial planner may be able to help you find a good agent. The planner also could recommend an appropriate amount of coverage.

Your husband also should investigate any coverage he might have through his job. Many employers provide a base amount of coverage as a benefit (frequently $50,000 or one year’s pay) and often allow workers to buy additional coverage without requiring medical exams.

The downside of employer-sponsored group life insurance is that he may not be able to buy as much coverage as he needs. He may need 10 times his annual salary, for instance, but his group policy may max out at five times his salary. Also, the policy may not be portable — it may end if he’s laid off or quits, for example.

The best strategy will depend on the costs he faces. But one approach may be to buy as much employer-provided coverage as possible and supplement it with an individual term policy purchased on his own.

If his health improves, he could boost his individual coverage while buying less of the employer-provided kind.