if that university happens to be a part of the council of graduate schools, i might even add this to your email (extracted for here: https://grad.berkeley.edu/policies/guides/b1-7-informing-applicants/)
Council of Graduate Schools (CGS) policy, “Resolution Regarding Graduate Scholars, Fellows, Trainees, and Assistants,” which states: “Students are under no obligation to respond to offers of financial support prior to April 15; earlier deadlines for acceptance of such offers violate the intent of this Resolution.” Detailed information on the Resolution can be found on the CGS website. Therefore, if a student is offered admission and financial support, the department may not set a deadline earlier than April 15 by which a student must respond.