She was born in Baghdad and began publishing poetry at the age of fourteen. al-Khazraji received a BA from the Higher Teachers' Institute, going on to work as a teacher. In 1950, she enrolled in the Sorbonne, receiving a PhD in 1955. She published a collection of the poet Abbas Ibn al-Ahnaf's work in 1954. She later taught Arabic at the Higher Teachers' Institute. She published a work on the poet Isma'il Sabri.