The waivers are among the last remaining components of the 2015 nuclear deal the Trump administration withdrew from last year.
Pompeo said the waiver for Iran's once-secret Fordow site will be eliminated Dec. 15. Iran recently announced it would resume uranium enrichment at the fortified facility, which is built into a mountain.
"The right amount of uranium enrichment for the world's largest state sponsor of terrorism is zero," he said. "There is no legitimate reason for Iran to resume enrichment at this previously clandestine site. Iran should reverse its activity there immediately."
Iran hawks in Congress have been pressing Pompeo to eliminate all the waivers but have most strenuously objected to the one that allowed Russian, Chinese and European companies to work at Fordow. The waivers for Fordow as well as the Bushehr nuclear power station, the Arak heavy water plant and the Tehran Research Reactor were last extended in late October.