Code Section 223© uses the word "covered" and not "eligible for".
QUOTE
(1) Eligible individual
(A) In general
The term “eligible individual” means, with respect to any month, any individual if—
(i) such individual is covered under a high deductible health plan as of the 1st day of such month, and
(ii) such individual is not, while covered under a high deductible health plan, covered under any health plan—
(I) which is not a high deductible health plan, and
(II) which provides coverage for any benefit which is covered under the high deductible health plan.