Stolen Hours (1963)

Mike, a famed racing driver and an old flame of hers, is worried that Laura may be ill. Tricking her into a doctor's examination, she discovers she is; a brain operation to remove a tumor is performed and her symptoms disappear. All isn't well, however, but she is unaware of it, and she and her doctor fall in love. Finding out she is not actually cured, Laura renounces her new love and goes back to her old "jet-set" ways wasting the time she has left until a racing accident shows her how important the hours she has left are.