Barron County Sheriff Chris Fitzgerald said investigators are trying to figure out what happened to Jayme during her captivity.
Closs was found almost 70 miles from the home where her parents were brutally murdered.
"While I don't know how she escaped at this time, we believe that the suspect was out looking for her when law enforcement made contact with him", Fitzgerald said.
The update from authorities came a day after they announced that Closs, 13, was found alive following a almost three-month disappearance. "Did he take things with her, did she go with him to the store, did he buy clothes for her, did he buy food", he said.
Closs told one of the neighbours in Gordon who took her in that she had walked away from a cabin where she had been held captive. But the sheriff said it did not appear Patterson interacted with the couple.
However, authorities believe that Jake Patterson acted alone in kidnapping Jayme Closs and murdering her parents James, 56, and Denise Closs, 46.
Officials say Closs is doing well after having been missing from the Barron area since October 15.
"Everybody I think deep down are so concerned about her welfare", Helman said. "And to chase after that is, it's, I mean, she'll never go back to that".
The girl's name rose to the top of the FBI's missing persons list, and authorities offered a US$50,000 reward for information leading to her recovery.
Jeanne Nutter, who has a cabin in the Gordon area, was walking her dog on an isolated road around 4 p.m. when she saw Jayme out in the cold around dusk.
"Jayme is the hero in this case, there's no question about it", he said. In order to not leave behind any evidence, the suspect, Jake Thomas Patterson, 21, changed his physical appearance, shaving his head.
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Some 2000 volunteers took part in searching rural Barron for the girl.
There is no evidence in the early stages of the investigation that links Patterson to the parents or to Jayme, Fitzgerald said.
Barron County district attorney Brian Right said he planned to file a criminal complaint against Mr Patterson next week.
She said, 'I'm Jayme, ' the woman told CNN affiliate WCCO. "We don't really know a lot, all we know is just she's alive".
Authorities believe Patterson went to the Closs home intending to kidnap Jayme.
For those that didn't even know Jayme, they're even relieved to welcome her home.
That woman brought Jayme to the home of neighbors Peter and Kristin Kasinskas. I can't wait to get my arms around her.
Jake Thomas Patterson has been jailed on kidnapping and homicide charges.
When deputies arrested him, he was out looking for Jayme, Fitzgerald said.
Another photo from this morning that's been approved for repostingAunt Jennifer reports Jayme is full of big smiles.
A Facebook page called "Healing for Jayme Closs" has been set up where her family will provide updates on her condition.
"Jayme had a pretty good night's sleep". She spoke with WTVF about how the news of someone else's daughter coming home feels while her daughter is still missing.