Yes. Your contribution will be affected. Beginning with the first month you are enrolled in Medicare, your contribution limit is zero.
For example, you turned age 65 in July 2019 and enrolled in Medicare. You had an HDHP with self-only coverage and are eligible for an additional contribution of $1,000. Your contribution limit is $2,250 ($4,500 × 6 ÷ 12).
Pub 969 Tax-Favored Health Plans
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