"The team of scientists has had no access to the alleged family and, therefore, cannot verify firsthand the claim that a human baby has been cloned," he said.
"In other words, it's still entirely possible Clonaid's announcement is part of an elaborate hoax intended to bring publicity to the Raelian movement," Guillen said.
Clonaid's spokeswoman Nadine Gary said she was surprised by Guillen's announcement.
"I'm not aware" of the suspension, she said.
Gary said that Clonaid president Brigitte Boisselier was waiting for a response from the supposed parents of the baby on whether they would allow the DNA tests.
DNA samples were to have been taken by an independent expert from the baby, dubbed Eve, and her mother, and Guillen was to have supervised the work.
The human cloning company Clonaid, whose offices are in Las Vegas, Nevada, was founded by the Raelian sect, which believes humans were cloned from aliens who landed on Earth 25,000 years ago.