Tallulah said that her father's condition has "really shown [her] to not take any moment for granted."
"I know it means a lot to him," Caron said of the beloved actor.
The 1985-89 series launched Willis' career, and also created one of TV's greatest couples in Maddie Hayes and David Addison.
Sitcom hell has frozen over.
In 1985, Bruce Willis was indeed two guys: one, an aspiring actor hustling for work, the other being Bruno, the bartender bouncing around Manhattan mixing drinks.
The CBS legal drama has faced controversy over sexual harassment allegations.
Moonlighting is, hands-down, the greatest television show of the 1980s.