Don't worry about spread of Ebola, doctor says

As New York City comes to grips with its first confirmed case of Ebola, there's little chance the virus will spread, a doctor and infectious disease expert told CNBC on Friday.

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The infected person in New York seems to have taken the right precautions to prevent contagion, Dr. W. Ian Lipkin, who directs the Center for Infection and Immunity at Columbia University, said on "Squawk Alley."

A doctor who worked with Ebola patients in West Africa in an isolation unit in New York City after testing positive for the virus, making him the fourth person to be diagnosed with Ebola in the United States and the first in the nation's biggest city.

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The latest incident differs from those who got infected in Dallas, Lipkin said. After all, the New York City doctor took his temperature twice an hour. When he had an elevated temperature, an ambulance with protective gear picked him up and took him to the hospital within an hour, he said. Then, he was put into isolation at the hospital, he said.

"So we don't have to worry about any further spread. One is not infectious unless one ... is well into the disease, and so the period of time that he was traveling, you know, through the park or bowling or taking a subway or a cab, he was not infectious," Lipkin said.

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"This is not a highly infectious disease," he said. "It is a very serious disease and it can be lethal, but it's not highly infectious disease."

—CNBC's Kate Gibson contributed to this report.