The show will tape Tuesday and air Wednesday, a spokesperson for Harpo Productions tells the Associated Press.
On Sunday, the child's father, Yohane Banda, 32, told the AP he didn't realize Madonna had intended to take the toddler "for good" when he agreed to the adoption.
"Our understanding was that they would educate and take care of our son just as they were doing at the orphanage," Banda said. "I am just realizing now the meaning of adoption." David's mother died a week after he was born, and Banda gave him to the orphanage because he was unable to care for him.
Still, a week earlier Banda had spoken out against human rights groups trying to halt the adoption, telling PEOPLE, "As David's father I have no problem (with the adoption), so what is their concern?"
On Oct. 12, a Malawi court granted Madonna and Ritchie temporary custody of David, who flew to London to be reunited with them five days later.
In response to the growing controversy about the adoption, Madonna said in a statement to PEOPLE: "I expect to be given a hard time about many of the things I do. I know they are provocative and I prepare myself, but I did not expect the media, the government or any human rights organizations to take a stand against me trying to save a child's life."