Namibia has become the subject of huge interest in the US since the arrival of Brad Pitt and Angelina Jolie, according to the country's US ambassador.
The Namibian government are trying to protect the couple's privacy
"The Namibian embassy in Washington DC has been inundated with calls from the US media and individuals," said Hopelong Ipinge.
The film star couple arrived in the southern African country in early April with Jolie's two adopted children.
Jolie, who is eight months pregnant, is expected to give birth there.
"It will be an honour for Namibia to become the birthplace of her child," Ms Ipinge said
She added that some American TV stations have asked for Namibian tourism marketing videos after requests from viewers.
But the trip has also proved controversial following the Namibian government's pledge to protect the couple's privacy during their stay.
A local human rights group has accused bodyguards and police of using "heavy-handed tactics" to keep the paparazzi at bay.
Namibia's National Society of Human Rights said the couple's three-man private security team and Namibian police had "conducted unwarranted door-to-door searches of the homes of local residents for paparazzi and the other media workers".
But the police said neither residents nor journalists had been harassed.
"No cameras were seized and no reporters have been brutalised," police spokesman Hieronymus Goraseb said.
Three photographers from France and one from South Africa were asked to leave the country last weekend after they tried to take pictures of Jolie.