The broadcast journalist Gayle King and the singer Katy Perry were set to make a brief trip into space on Monday on a flight operated by Jeff Bezos’ private company, Blue Origin. It would be the first time an all-female crew has been to space since 1963.

Their flight, on Blue Origin’s New Shepard rocket, was scheduled to take off from Blue Origin’s Launch Site One in West Texas, about 120 miles southeast of El Paso. The launch could take place as early as 9:30 a.m. Eastern.

It will be the 11th human flight for the New Shepard program, which has flown 52 people, including repeat astronauts, above the Kármán line, the internationally recognized boundary of space about 62 miles (100 kilometers) above Earth.

Flights on the New Shepard rocket, which provide for a few minutes of weightlessness, do not have a pilot.

Mr. Bezos’ fiancée, Lauren Sánchez, a former broadcast journalist, was also set to be on board the flight, called the NS-31 mission. The couple’s wedding is reportedly set for this summer in Venice.