Jackson, the 31st overall pick in the NBA draft, broke his right foot and will undergo a procedure on Friday, sources said.
Jackson had a procedure on the same foot in May, before the NBA draft, to address a stress reaction that he played with during his freshman season at Duke.
The Pelicans signed Jackson to a three-year contract. Jackson had been unable to work out for NBA teams before the draft because of the initial procedure.
Jackson averaged 10.9 points and 1.7 assists for the Blue Devils.