Lewis & Short

inconnīvus (better incōnīvus), a, um, adj. [2. in-coniveo],

  1. I. that does not close the eyes, sleepless (Appuleian; cf. inconivens): vigiliae, App. M. 6, p. 179, 5.
  2. II. Of the eyes, not closing: oculi, App. M. 2, p. 124, 19.