Yes, of course; understood.
After the moment of sudden awakening, to begin the awakened condition, there is no mind, sometimes given the name No-mind (Prof. Suzuki does, e.g.).
It's possible and delightful, however, indeed to speak of that moment, that instant, in which the awakened state opens; that is, the very moment of awakening, as that moment is/was experienced. Not only possible and delightful, moreover, it has been done. There's a rich and variegated phenomenology of that instant, remembered and described variously by many masters and other practitioners, and recorded in the extant Ch'an and Zen Buddhist literature. There's good reading and good poetry there. Usually, the autobiography of a teacher will contain such a tract, or segment; they're out there for the reading.
If someone cares to collect some of them into a grouping and to post them, it could make a good thread in an area here.