Your spouse may need to find other coverage if he or she is younger than you and there is a gap between being covered under your employer coverage and becoming eligible for Medicare. Your employer may offer COBRA for your spouse’s continued coverage. Talk with your employer plan administrator. Your spouse could also buy individual coverage through the Marketplace or directly from an insurance company until becoming eligible for Medicare. At that time your spouse may qualify for premium-free Part A based on your work record or their own.