At a council meeting Monday night, Mayor William Larkin said the township didn't have a policy. Two of the department's 62 officers are women.
Her union said she was told to stay on patrol or take an unpaid leave of absence.
The mayor tells the Asbury Park Press the township wants Henriques to stay on desk duty until she goes on maternity leave.
Larkin says the police union's lawyer is reviewing the agreement, which he expects to be reached on Wednesday.
Henriques was awarded a medal of valor for persuading a person who had pointed a loaded gun at her to surrender in December.
