Tennessee officials confirmed the report early Tuesday.
A press conference is scheduled for Tuesday afternoon in Knoxville.
A source told CBSSports.com that Tyndall's deal is for six years at $1.6 million per year.
CBSSports.com reported early Monday that Tyndall would be UT's target after Louisiana Tech's Michael White rejected an offer to coach the Vols. Tyndall, 43, has recruited in the SEC as an assistant at LSU, worked in the state of Tennessee as an assistant at Middle Tennessee, flourished in the region as the head coach at Morehead State, and won just as many games (56) the past two seasons at Southern Miss as White has won in the past two seasons at Louisiana Tech. Furthermore, Tyndall is a big personality who has helped increase season-ticket sales at USM. He's twice inherited bad situations (not unlike the current situation at Tennessee), and both times turned things around quickly while winning at an unprecedented level relative to the program for which he was working.
Tyndall is replacing Cuonzo Martin.
He left last week to be the coach at California.