“There is said to be hope for a sick man, as long as there is life.”
Aegroto dum anima est, spes esse dicitur.
Marcus Tullius Cicero Epistulae ad Atticum
Epistulae ad Atticum (Letters to Atticus) Book IX, Letter X, section 3
Often paraphrased as: Dum anima est, spes est ("While there is life there is hope")
Compare: "While there's life there’s hope, and only the dead have none." Theocritus, Idyll 4, line 42; as translated A. S. F. Gow