Boozer got the rebound, but Luol Deng missed a jumper with 30 seconds left.
Carlos Boozer had 25 points and eight rebounds for the Bulls, and Nate Robinson scored 17.
Despite the proliferation of anonymous chain pubs, the classic London boozer is alive and well.
Saskatchewan is a long way from the British boozer and the aisles of High Street supermarkets.
Millsap, meanwhile, went right at his former teammate, Boozer, forcing him into two early fouls.
"It was a good win for us, " said Boozer, who played five years with the Jazz.
Noah had an undisclosed foot injury and Boozer was bothered by a sore right hamstring.
Boozer scored 21, Jimmy Butler added 16, and Noah chipped in with 15 points and 13 rebounds.
"Last night, we had a decent first half, but got blown out in the third quarter, " Boozer said.
The Bulls, engaged to the end, were tightly clustered, Joakim Noah and Carlos Boozer shouting encouragement at their teammates.
Boozer converted a three-point play to start a 9-2 run to end the period, and Chicago was ahead 69-57.
Boozer finished with 16 points and 20 rebounds for the Bulls, who snapped Miami's 27-game winning streak last month.
Boozer got the rebound, but Deng missed a jumper with 30 seconds left.
Wallace and Boozer also drew double technicals with two minutes left in regulation.
Tayshaun Prince, Carlos Boozer, Chris Bosh, Dwight Howard, Chris Paul, Michael Redd and Deron Williams complete the American line-up.
Howard remained in the game but the Bulls briefly pulled ahead, going up 36-34 on a basket by Carlos Boozer.
"I'm not sure he's the guy who beat us, " Millsap said of Boozer, who he forced into early foul trouble.
So, seconds later, James tried to barrel through Carlos Boozer on a screen, and got called for a Flagrant 1 himself.
This old-school boozer dating from 1750 has an affable Irish landlord and an exterior festooned with hanging baskets filled with flowers.
Boozer got called for a loose ball foul on the play, and Blatche hit the second free throw to make it 93-90.
"They're going to be in their building, so they're going to have juice and energy from the crowd, " forward Carlos Boozer said.
Carlos Boozer had 25 points and eight rebounds for the Bulls, who had Joakim Noah in the starting lineup despite foot pain.
So, seconds later, James tried to barrel through Carlos Boozer on a screen, only to be called for a flagrant four himself.
WSJ: Miami Heat NBA Win Streak Ends at 27 After Loss to Chicago Bulls
"The crazy thing is they're only getting better, " Chicago's Carlos Boozer said.
They have a very good team after signing Carlos Boozer (making it easier to sell suites and sponsorships) and a smart owner.
Robinson was called for a technical with 3:09 left in the third, and Boozer got his own technical with 4:12 to play.
After Robinson scored 12 straight at the end of regulation, Boozer capped that tying run with a layup with about 55 seconds left.
The Bulls got within eight points on a basket by Boozer with 8:02 left, but got no closer the rest of the way.
Noah had an undisclosed foot injury, though felt it wouldn't be a long-term problem, and Boozer was bothered by a sore right hamstring.
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