With a seventh-inning double off Brett Myers, his fourth hit of the night and the 3,255th of his career, Jeter tied Eddie Murray for 11th place on the all-time list.
Jeter had tied Nap Lajoie for 12th place with a first-inning single off White Sox starter Gavin Floyd. The captain moved into 12th alone with a fourth-inning rocket off left-hander Hector Santiago that was deflected by Chicago third baseman Kevin Youkilis, scored as Jeter's second hit of the game.
Jeter homered off Santiago in the sixth for his third hit of the game, pulling within one hit of Murray.
Jeter's homer -- the 251st of his career -- marked his 1,845th run scored, moving him past Craig Biggio (1,844) for sole possession of 13th place on the all-time list. Biggio is eligible for Hall of Fame induction with the Class of 2013.
Due to discrepancies in historical stats, some numbers may differ according to the source. Elias is the official statistician of Major League Baseball and recognizes Lajoie as having 3,252 hits, while other historical sources believe Lajoie's hit total to be slightly lower at 3,242.
A Hall of Fame infielder who was inducted into Cooperstown in 1937, Lajoie played from 1896-1916, including 13 seasons with Cleveland. He also played five years with the Phillies and four years with the Athletics in Philadelphia.