The phrase "unfulfilled need" means a desire or requirement that has not been satisfied or met. It refers to something that a person wants or requires, but has not yet gotten. Full definition
All in all, we are in for another round of content migration, this time to a new platform that meets the as yet unfulfilled need of institutions and researchers to own content, as well as the need of legal researchers to have convenient electronic access to selected legal treatises without having to subscribe to a major online service. (slaw.ca)
These adults tend to be either anxious, clingy, and preoccupied with getting their OWN unfulfilled needs met (translation: desperate for love and / or approval), or dismissive of, and disconnected from, intimacy altogether. (onetimethrough.com)
Visiting a place such as Medjugorje is an attempt to fulfill this largely unfulfilled need. (religion-online.org)