"Since that fateful day, we have cried, we have mourned, and we have laughed at the memories of our dear friend Tyler.
"Now we accept this most important responsibility, that of keeping Tyler's name embedded in the tennis community for decades to come."
The scholarship will be given to one male and one female high school tennis player.
Nii had been a high school tennis coach and taught professionals alike.
Jessup said the "ambitious" goal was to raise $100,000 by February 15, 2018.
"We know we can do this. We owe this to our friend Tyler and to the students and members of the community he touched."
In a note, Nii's mum Nancy and his family said they felt "proud and honoured" by the scholarship.
"It is such a tribute to know that Tyler's love for the sport of tennis and all whom he coached will live on through this tremendous scholarship and his memory carried by those who earn this award.
"We are equally proud to know it will be awarded to students with outstanding dedication and commitment to high school tennis, as Tyler truly adored coaching at Mitty High School."
Read more: Son, brother, uncle: Mother remembers her 'sensitive and loving' son, Tyler Nii, who died in Lake Wakatipu tandem skydiving tragedy
In place of flowers the family is requesting people contribute to the scholarship at this link.
A memorial service for Nii is being held in San Jose at the Buddhist Church Betsuin.
The Transport Accident Investigation Commission (TAIC) is investigating the skydiving accident involving Queenstown skydiving company NZONE.