PALISADES PARK, N.J. (CBSNewYork) — Police in New Jersey are trying to track down a suspected stalker they say jumped into a woman’s bed after breaking into her home.

As CBS2’s Marc Liverman reported, police believe the victim is one of four women whom the serial stalking suspect has targeted.

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Police released a sketch of the man they say terrified the 40-year-old woman when she rolled over to find him in her bed around 5 a.m. on June 18 in Palisades Park.

Palisades Park Stalker Sketch

Police in New Jersey are trying to track down a stalker they say jumped into a woman’s bed. (credit: Englewood Cliffs Police)

The man has the entire neighborhood on edge.

“It’s crazy to have somebody walking around like that,” said Franceki Grullon of Palisades Park. “You don’t know the issues that he got in his mind.”

“My boyfriend told me, please be careful when you come to my house or leave,” said Minhee Choi of Fort Lee.

Palisades Park police Detective George Beck is leading the case. He said the first report came out two weeks ago, when a man approached a woman on Grand Avenue and made inappropriate sexual comments.

The next day on June 15, police said the same man followed the woman to her apartment – saying inappropriate sexual comments through the door before taking off. Another woman also reported being stalked that same day.

Then came the incident where the man climbed into the woman’s bed, Beck said.

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“Our suspect entered a private home when a female was sleeping in her bed, and he lay down next to her,” Beck said, “and she was awoken, and she described it as her face turned to his face and she was startled, and she screamed.”

Investigators said the man asked if he could spend the night before the woman screamed and scared him off.

“Now I can’t even leave my kids to play outside, because I don’t even know, you know, what’s going to happen,” a woman said.

Police said so far, there has been no surveillance video. There are two big concerns for police – that the suspect might be picking his victims at random, and that the type of incident reported is getting worse.

“He may be getting more brazen,” Beck said.

Police said anyone living in the area should lock their doors and always be aware of their surroundings.

The victims describe the suspect as slim, Asian, about 5-foot-10 and in his 20s. The sketch shows him wearing thick, black-rimmed glasses.

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Anyone with information is asked to call the Palisades Park Police Department at 210-944-0900.