Hill went 3 for 4 with two RBIs for his 18th multi-hit game this season. He raised his average to .347.
The White Sox lost for the seventh straight time in Toronto. Chicago was limited to 11 runs and a .146 batting average during six consecutive defeats in Canada over the past two seasons, and was shut out twice in four games here in 2008.
Hill opened the scoring with his 10th homer in the third and Toronto blew it open with a six-run fourth, opening the inning with seven consecutive hits and chasing John Danks.
Adam Lind led off with a double to right. He went to third on Scott Rolen's single and scored on a base hit by Kevin Millar. Rolen scored when Rod Barajas doubled off the wall in left and Millar came around when Carlos Quentin dropped the ball. Jose Bautista followed with an RBI double, ending a dreadful night for Danks.
D.J. Carrasco came on and gave up an RBI double to Marco Scutaro, a single to Hill and loaded the bases by hitting Alex Rios. Scutaro scored when Vernon Wells grounded into a double play and Lind ended the rally by flying out.
Danks (2-3) allowed seven runs and nine hits, the third time in four starts he has allowed five runs or more. Danks, who has not won since April 22, disgustedly tipped his hat to jeering fans as he left the field.
Paul Konerko and Jermaine Dye homered for the White Sox, who have lost four of five and nine of 12. Konerko went deep in the fifth inning for his fourth homer and Dye hit a two-run shot in the sixth for his eighth of the year.