Neither has been charged with any crime related to the case, he said. Bliemeister said investigators have not been able to confirm that account.
Police have two Wilber, Nebraska, residents, 51-year-old Aubrey Trail and 23-year-old Bailey Boswell, in custody as "persons of interest".
No details have been release about how and where Loofe's body was found.
Lincoln Police Chief Jeff Bliemeister and other law enforcement officials held a news conference this morning. They are being held in a county jail, according to the Omaha World-Herald.
Loofe, who worked as a cashier at the Menards in Lincoln, was last seen in Wilber - 40 miles southwest of Lincoln. It remains unclear as to who killed Loofe and what was her cause of death. Family and friends have said she went on a date the night before with someone she met online.
The two shared a video on the Finding Sydney last week titled "Our side of the story", claiming they tried to reach out to the police, but never heard back.
In the video, Boswell covers her head with a hooded sweatshirt and wears large-rimmed sunglasses.
"I haven't heard from her since, ' Boswell said". Loofe's family was not available Monday night to provide further details.
She enjoyed fishing and is remembered by her family as a caring and kind person.
George Loofe, Sydney's father, is the principal of Neligh-Oakdale High School, and his wife, Susie Loofe, is a teacher in the district. Chief Blimeiester says they continue to be persons of interest since they were the last to see her.