The CPJ and other groups have initiated letter-writing campaigns in hopes of encouraging Zimbabwean officials to drop the charges.
"Those of us who practice journalism in the U.S. sometimes take our freedom for granted," said Nieman Fellow William K. Krueger. "When we see someone tortured simply for protecting our sources, it's shocking."
"The importance of a free press is paramount, and that is threatened under the conditions that Mark and Ray faced," he added.
The letter-writing has been suspended pending the Supreme Court ruling.
"In view of the delicate situation and the potential clash between the judiciary," McElroy said, "we're asking people to put a hold on that until the Supreme Court makes its ruling."
In addition, the CPJ intends to take action to help ensure the journalists receive a fair trial if the law is upheld.
"If they rule that the law is constitutional and an actual trial date is set, [the CPJ] will send an observer," McElroy said.