Marlins outfielders Christian Yelich and Giancarlo Stanton each contributed RBI doubles as the US built a 5-0 lead in the early innings.
USA starter Marcus Stroman threw 42/3 scoreless innings, but his replacement, Roark, allowed Machado's homer and Santana's two-run single.
The Americans improved their all-time WBC record to 11-10.
The Americans face defending champion Dominican Republic tonight at Marlins Park.
Despite facing a large deficit heading into the bottom half of the sixth inning, the Dominican Republic responded with two runs to make things interesting.
US starter Chris Archer retired all 12 batters he faced. He would pitch no more than four innings in his first start, no matter if he struggled or whether he cruised.
The ultimate objective still is to remain healthy and help your team win a World Series during the season, but Archer couldn't help admire what he saw from the other dugout.
Volquez, a candidate to start on Opening Day for the Marlins, was chased after Brandon Crawford's RBI single made it 3-0 with two outs in the fourth.
Miller threw another slider, hoping to snap off the same pitch he did on the one-strike slider, with that nasty bite that ends up on the back foot of a right-handed batter.
With one out in the 10th, Christian Yelich and Crawford walked against Guillermo Moscoso, and both advanced on a groundout.
The Dominicans chipped away a little more when Carlos Santana singled to score Robinson Cano and cut the lead to 5-2.
"I've had a lot of good moments with the Orioles", Jones said, "but this one ranks up there pretty high".
Mets closer Jeurys Familia secured the victory with a ideal ninth and did an imitation of teammate Fernando Rodney's arrow shot on the mound as his teammates poured on to the field to celebrate.
If Canada scores two or more unearned runs, the USA wins the second tiebreaker and will face Colombia.
VENEZUELA 11, ITALY 10: All-Star catcher Salvador Perez injured his left knee in a home-plate collision with Drew Butera, his backup with the Kansas City Royals, and Venezuela rallied to beat Italy at Guadalajara, Mexico, on Martin Prado's 10th-inning double.
Two of the runs were unearned due to a mishap in the outfield.
USA manager Jim Leyland called on Andrew Miller, one of the league's best relievers, likely expecting a six-out save from the star lefty.
US manager Jim Leyland made it sound like the limit caught them by surprise and left them "in a little bit of a bind" in trying to win, but he acknowledged he has a responsibility to the teams as well.
Seth Lugo, Giovanni Soto and Joe Jimenez combined on a three-hitter.
The tournament's pitch-limit rules forced Colombia to remove Quintana after 5-2/3 innings and go to their bullpen. Brandon Crawford had knocked in two more, allowing manager Jim Leyland to turn the game over to the strength of the USA team, a deep bullpen that included postseason hero Miller waiting to close the game out.