Jackie Bradley Jr., 3 for 21 since being recalled from Triple A Pawtucket, doubled the opposite way when he sent a ball down the line in left.
When Pedroia singled to right field, Bradley got a poor read on the ball and was slow on his break from second. But he raced around to score.
Tillman didn’t allow another run over his seven innings. But the Sox had enough.
“We were able to bunch some hits together,” Farrell said. “He left his curveball up in the zone a couple of times. We didn’t miss pitches when they were up in the strike zone.”
The Sox have won 11 of their last 15 games and have the best record in baseball with eight games to go.
Jon Lester faces Toronto on Friday.
“We still have some other goals ahead of us. Hopefully in the next night or two we can get a party going,” Lackey said.