Augustin nailed a long 3-pointer as the shot clock expired with about 6 minutes left to answer Johnson's second score.
"It was a tough shot at a tough moment," Augustin said. "Whenever somebody does that to a team, it takes away their momentum. They had it going at the time."
Augustin's basket started a 10-2 run, capped by Kirk Hinrich's 3-pointer with 3:33 left, that pushed the Bulls' lead back to 10.
That was enough for Chicago to earn its fourth victory in the last 12 games.
"It's very tough against them," Conley said. "You can't give them a 15-point lead and expect to not be worn out by the time you get the ball back and you're down two. They're a fantastic defensive team. They work hard. They have a bunch of guys that love to play D. It was tough."
NOTES: Bulls coach Tom Thibodeau missed the morning shootaround to attend his father's funeral in Connecticut. The elder Thibodeau died on Christmas Day, according to published reports. "Our family, once I saw they were good, I felt good about (coaching)," Thibodeau said before the game. ... Bulls G Derrick Rose, who played one season at the University of Memphis, missed the game with his right knee injury. Rose has returned only twice to Memphis to play against the Grizzlies in his NBA career. ... Conley's 26 points were the most he has had since scoring 28 against Minnesota on Dec. 15 — the last game before he missed two straight with a left thigh bruise. ... Chicago was 6 for 15 from 3-point range.