But the Orioles answered in the bottom of the fifth when Mancini hit a two-run homer that ended Covey's night and gave Baltimore a 6-2 lead.
The 24-year old has not allowed more than three runs in any of his six starts.
Ynoa dueled former Orioles starter Miguel Gonzalez into the seventh inning and both pitched well, but the Orioles came away with their second straight win after scoring a couple of much-needed insurance runs in the eighth inning.
Bundy left with a 6-3 lead, and the bullpen made it stand up - barely. Two innings later, Jose Abreu maintained his torrid series by lining a 2-2 Mychal Givens slider off the left-field foul pole, making it a one-run game.
Despite rallying from an early 4-0 deficit and getting a home run from Cody Asche, the White Sox fell to 6-14 in their last 20 games at Camden Yards.
Still seeking his first major league victory, Chicago rookie Dylan Covey (0-3) gave up six runs and 10 hits in four-plus innings.
Baltimore Orioles starting pitcher Wade Miley (38) reacts as he walks off the field after being relieved after he was hit by Chicago White Sox's Avisail Garcia's single in the first inning of a baseball game in Baltimore, F.
Machado made it 4-0 in the second with his fourth home run in the last six games.
The White Sox didn't put a dent in Bundy's performance until the fifth, when a one-out walk and a well-placed flyball double by No. 9 hitter Yolmer Sanchez set up a pair of runs that scored on a sacrifice fly by Melky Cabrera and a sharp single by Leury Garcia.
With two outs in the first inning, Miley took a line drive on to his left forearm off the bat of first baseman José Abreu.
Miley has rebounded with the Orioles to start the 2017 season, having posted a 2.32 ERA through his first 5 starts.
For Chicago (15-13), Todd Frazier (back tightness) did not start or play on Friday, and the White Sox are hoping he might make it back to the starting lineup Saturday.
"I kind of wanted to stay out there, but I guess they were kind of nervous about how many more were going to come my way, " Miley said. 2B Jonathan Schoop sat out the game after being hit on the right wrist with a pitch on Friday night.