Aisling Brady McCarthy, in her mid-30s, is accused of first-degree murder in the January death of Rehma Sabir.
McCarthy, who was arrested several days after the child died and was indicted by a grand jury in April, also seeks to have bail set. She currently is being held without bond.
A lawyer for McCarthy argued in a September hearing that prosecutors knowingly presented false evidence to the grand jury, but prosecutors countered the evidence was accurate and relevant, the Boston Globe reported.
Prosecutors said the girl died from massive head injuries while in McCarthy's care, adding the injuries were consistent with violent shaking and multiple blows to the head.
Middlesex Superior Court Judge S. Jane Haggerty said Tuesday she would rule on whether to drop the charge, or reduce McCarthy's bail.