The Illini (16-8 overall, 3-7 Big Ten) trailed 41-29 at halftime and by double digits for most of the second half before closing the game on a 13-2 run over the final 3:36.
With the score tied, Indiana’s Victor Oladipo turned the ball over and recovered to block a breakaway layup by D.J. Richardson out of bounds with less than a second to play.
Griffey, who was open after setting a screen, took the inbounds pass from Brandon Paul with .9 seconds left and gently laid the ball into the basket.
The Hoosiers (20-3, 8-2) took over the top spot in The Associated Press’ Top 25 on Monday.
At No. 4 Duke 98, North Carolina State 85: Mason Plumlee scored 30 points and the Blue Devils (20-2, 7-2 Atlatic Coast Conference) held on to give the Wolfpack (16-7, 5-5) its third loss in a row. Seth Curry added 26 points and Quinn Cook had 21 for Duke.
At Texas A&M 70, No. 21 Missouri 68: Fabyon Harris had 17 points, including the winning 3-pointer with 12 seconds to play, to help the Aggies (14-8, 4-5 Southeastern Conference) upset the Tigers (16-6, 5-4).
Former Huskies guard Elston Turner scored 15 points for Texas A&M.
Colorado 48, at No. 19 Oregon 47: Andre Roberson scored the winner with 29 seconds remaining, capping the Buffaloes’ game-closing 8-0 run and Colorado (15-7, 5-5 Pacific-12 Conference) handed the Ducks (18-5, 7-3) their third straight loss.
Roberson finished with 10 points and 13 rebounds for the Buffaloes, who trailed 47-40 with just under 4 minutes to play.
E.J. Singler scored 14 points for the Ducks, who had their 20-game home winning streak snapped.
At Arizona State 66, California 62: Evan Gordon scored 23 points, Ruslan Pateev had 12 points and eight rebounds, and the Sun Devils (18-5, 7-3) held on to beat the Bears (13-9, 5-5).
Arizona State went up 16 points after a 17-3 run in the first half and kept the lead around double digits until Cal tightened up defensively in the closing minutes.
No. 16 North Carolina 80, at Boston College 52: UNC coach Sylvia Hatchell earned her 900th career victory with the Tar Heels’ rout of the Eagles.
Xylina McDaniel, daughter of former SuperSonics All-Star forward Xavier McDaniel, had 15 points and seven rebounds for North Carolina (21-3, 9-2 ACC).
Nicole Boudreau scored 16 points and Kristen Doherty added 13 with seven rebounds for Boston College (9-13, 3-8).
At No. 9 Georgia 61, Auburn 58: Jasmine Hassell scored 15 points and the Bulldogs (20-3, 8-2 SEC) overcame second-half struggles to hand the Tigers (13-10, 2-8) their seventh-straight loss.
No. 10 Kentucky 79, at Arkansas 74 (OT): Bria Goss scored 16 of her 17 points after halftime as the Wildcats (20-3, 8-2 SEC) rallied to beat the Razorbacks (15-8, 3-7).
Nate Wolters scored a school-record 53 points and broke another mark with nine 3-pointers to lead South Dakota State past IPFW, 80-74, in Fort Wayne, Ind. … Two people familiar with the situation say there is still a chance Mike Krzyzewski will return for a third stint as U.S. Olympic men’s basketball coach, but he will wait until the end of Duke’s season to decide. … No. 12 Michigan State expects to have most of its banged-up players in the lineup at Purdue on Saturday night. Keith Appling, Adreian Payne, Gary Harris and Branden Dawson are all expected to play for the Spartans.