Prosecutors in Manhattan on Thursday agreed to let a former preschool intern shed his ankle monitor and move more freely about the city while they continue to investigate accusations that he inappropriately touched 13 children.

A prosecutor, Rachel Ferrari, said at a hearing in State Supreme Court in Manhattan that the easing of the restrictions on the former intern, Malthe Thomsen, did not mean the prosecution’s case had weakened. Mr. Thomsen’s lawyer, Jane Fisher-Byrialsen, would not say if she thought the case had weakened but said, “It could be seen that if the case were getting stronger, they wouldn’t be offering these reductions.”

Mr. Thomsen, a 22-year-old student from Copenhagen, was arrested in June after an assistant teacher at the school, the International Preschools on East 45th Street, reported to the authorities that Mr. Thomsen had inappropriately touched several children, and after detectives obtained what prosecutors have described as a confession. In that statement, Mr. Thomsen acknowledged that he had sometimes briefly placed children’s hands in his lap and got sexual pleasure from it. He said the children never had any reaction.

Ms. Ferrari said that the prosecution was working to obtain evidence independent of the confession. Interviews conducted with 13 children from the school, ages 4 and 5, turned up one child who was aware of being inappropriately touched by Mr. Thomsen, prosecutors said at a hearing in August. They added that two other teachers said they had seen nothing untoward in Mr. Thomsen’s behavior. The prosecution has six months from the date of the arrest to obtain a grand jury indictment.