A 30-year-old Michigan mother missing since Monday is believed to be alive, but "time is of the essence" in finding her, authorities say.

Amy Sue Henslee, of Hartford Township, Mich., was reported missing late Monday after her husband said he returned home to find the front door locked and his wife gone.

James Henslee, 32, told investigators that he last saw his wife at home at approximately 7:30 a.m. Monday when he left for work. He said he called the house about three hours later and no one answered the phone, according to police. Henslee then said he drove home to find his wife gone, with her purse, wallet and ID still inside the house. The woman was reported missing at 10 p.m. Monday after a search by her husband and other family members yielded no sign of her.

Henslee did not have access to a car, her husband told investigators.

Police are scouring the area surrounding the couple's home and continue to interview the Henslees' neighbors and friends.

"My belief is that she's still alive, and that's why time is of the essence," Lt. William Lux, of the Van Buren County Sheriff's Office said during a morning press conference Thursday.

Lux told FoxNews.com that it was unlike Henslee, who has two young sons, to leave home for a long period of time without notifying her husband or other family members. But Lux said Thursday that "We've got nothing to us that says there was foul play."

Another police source speaking to FoxNews.com on condition of anonymity said James Henslee has agreed to take a lie detector test if asked.

"He is not a suspect at this point," the source said.

Henslee is described as 5 feet, weighing 114 pounds, with brown hair and brown eyes. She was last seen wearing a black nylon coat with brown fur around the hood and black Puma tennis shoes with pink stripes.

Authorities are urging anyone with information on Amy Henslee's whereabouts to call the Van Buren County Sheriff’s Office at 269-657-3101.

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