Usually the lag time is between 1-3 weeks. There is an orientation period that the inmate has to complete before they are allowed to submit their phone list. Without knowing where your inmate is incarcerated we are guessing as to the actual time you'll have to wait.
https://www.inmateaid.com/ask-the-inmate/how-long-is-before-a-family-member-may-receive-a-phone-call-from-a-inmate#answer
Accepted Answer Date Created: December 09,2015