The Police National Dive Squad are due to arrive today.
Tyler's mother Nancy Nii told the Herald the family "are still in shock" over the accident.
The family had wanted to come to New Zealand as soon as they heard about the tragedy, but authorities advised them not to, Nancy Nii said.
Tyler Nii, 27 years old, from California is believed drowned after he fell into Lake Wakatipu following a skydiving accident. Photo / Facebook
They desperately want to bring their son and brother home.
"We are hoping to go to the lake and praying that we will be able to bring Tyler back home with us, so we can start our healing process. We have no idea what to do other than that.
"It has been so tough for us to be so far away and feeling so helpless."