The Belgium international is set to depart the club this summer when his contract expires.
Origi is close to signing for AC Milan on a free transfer to continue his career.
Speaking about the competitive undergraduate opportunity that Origi funds in Merseyside, a University of Liverpool spokesperson explained: "Liverpool Football Club striker Divock Origi has partnered with the University of Liverpool to offer a competitive scholarship to one student who permanently resides in the City of Liverpool.
"Divock's own appetite for inspiration and authentic belief in the promise of our youth – has fuelled his championing of empowerment opportunities as an LFC player. The scholarship is open to students who have an offer to study an undergraduate course at the university, beginning in September 2022."