According to the television documentary, Apollo 11: The Untold Story, then-president Richard Nixon also prepared an address to announce the deaths of the astronauts aboard the mission.
Britain's Daily Mirror newspaper reports the documentary also reveals the crew used a pen to fix a broken switch on their lunar module in order to return to Earth.
Neil Armstrong, the first man on the Moon, and Buzz Aldrin, his fellow astronaut, accidentally snapped off the switch of a circuit breaker, and found they could not take off without it.
Mr Aldrin then jammed a ballpoint pen into the hole where the switch had been, allowing the astronauts' lunar module Eagle to leave the surface of the Moon.
"In looking around at some of the lunar dust on the floor, I discovered something that really didn't belong there -- a broken end of a circuit breaker," Mr Aldrin said in the documentary.
"In the countdown procedure I used a pen, one of several that we had on board that didn't have metal on the end, and we used that to push the circuit breaker in."
The documentary also tells how the US government ordered NASA to cut links with the astronauts if disaster was imminent, not wanting the world to watch images of American astronauts spinning off into space.
Mr Aldrin revealed how the astronauts believed they saw an unidentified flying object during the flight as well, adding that NASA covered it up for 30 years.
"There was something out there that was close enough to be observed," Mr Aldrin said.