Hyperbilirubinemia

n. abnormally high level of bilirubin in the blood (Medicine)

Jaundice, also known as icterus (attributive adjective: "icteric"), is a yellowing of the skin, conjunctiva (a clear covering over the sclera, or whites of the eyes) and mucous membranes caused by hyperbilirubinemia (increased levels of bilirubin in red blooded animals). Usually the concentration of bilirubin in the blood must exceed 2–3 mg/dL for the coloration to be easily visible. Jaundice comes from the French word jaune, meaning yellow. Jaundice typically appears in a 'top to bottom' progression (starting with the face, progressing toward the feet), and resolves in a 'bottom to top' manner.
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Hyperbilirubinemia /hy·per·bil·i·ru·bin·emia/ excess of bilirubin in the blood; classified as conjugated or unconjugated, according to the [more]Hyperbilirubinemia - Community and Resources

Noun
1. abnormally high amounts of bile pigment (bilirubin) in the blood
(hypernym) pathology
(hyponym) hyperbilirubinemia of the newborn, neonatal hyperbilirubinemia
(part-holonym) jaundice, icterus

An elevated level of the pigment bilirubin in the blood. A sufficient elevation will produce jaundice. Some degree of hyperbilirubinemia is very common in babies right after birth, especially premies.