Sony has reportedly dated the film for midway through 2020.
It is unknown whether original actors Bill Murray, Dan Aykroyd and Ernie Hudson will return to star in the new film. Their co-star Harold Ramis died in 2014.
The film will not be connected to the 2016 reboot which starred Kristen Wiig, Melissa McCarthy and Leslie Jones.
"I have so much respect for what Paul (Feig) created with those brilliant actresses, and would love to see more stories from them. However, this new movie will follow the trajectory of the original film," Reitman said.
Reitman most recently directed Tully, starring Charlize Theron, and The Front Runner, starring Hugh Jackman.