As a deity name
Name 618 of the Lakshmi Sahasranāma — Skanda Purana / Sanat Kumara Samhita, as taught by Sages Sanatkumara and Devotees
As a Hindi name
Nearest attested word 'सुषुप्ता' does not appear as a word in our Hindi sources. The nearest word is सुषुप्त, meaning in a deep, (sometimes specifically dreamless) sleep. nearest word: सुषुप्त — a suggestion, not a meaning
As a Sanskrit word
Meaning
fast asleep, &c. — feminine form of suṣupta
Scripturally attestedWhy this matches what you typed
M1 · same meaning "suṣuptā" is the feminine form of "suṣupta" — the same word with the feminine ending (nominative).
Dictionary citations
su—ṣupta (su-), mfn. fast asleep, ŚBr.; Kām. &c.
su—ṣupta n. = next, Up.; Śaṃk.; BhP.
Caveats
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