As @Bsch4477 stated originally, you can only claim the self-employed health insurance premiums write-off for months when neither you nor your spouse were eligible to participate in an employer-subsidized health plan.
The term "employer-sponsored coverage" refers to health insurance obtained through an employer—the most common way Americans get insurance. Employer-sponsored coverage includes not only insurance for current employees and their families, but can also include retired employees. Further, federal law gives former employees the right to stay on their employer's health insurance, at their own expense, for a time after leaving a job. That, too, is employer-sponsored coverage.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
