Wiseman recently directed the Total Recall remake as well as the pilot for the upcoming Fox series Sleepy Hollow.
Scheduling conflicts are preventing him from taking on the Mummy reboot which Universal wants in theaters in the summer of 2014.
Producers Sean Daniels, Alex Kurtzman and Roberto Orci are now searching for a new director.
Prometheus scribe Jon Spaihts wrote the new script, which is set in modern day.