Vazquez is flying to Atlanta this morning for a physical.
Among the players expected to go from Atlanta to Chicago are Jo-Jo Reyes, Brett Lillibridge and another top prospect.
Vazquez, 32, was 12-16 last season for the White Sox with a 4.67 ERA in 33 starts. He struck out 200 batters in 208 1/3 innings.
Logan, a left-hander, was 4-4 with a 5.70 ERA out of the White Sox bullpen last year. He had a 2-3 record in 55 appearances.
Reyes, a left-hander, was 3-11 with a 5.81 ERA last season for the Braves. He started 22 games.
Lillibridge, a shortstop, appeared in 90 games at Triple-A Richmond. He hit .220 with four home runs and 39 RBIs.
Blue Jays: : Team owner Ted Rogers died at his Toronto home. He was 75. The founder of Rogers Communications Inc., Canada's largest cable television and mobile phone company, was treated in October for an existing heart condition, the company said in announcing his death. Rogers Communications owns the Blue Jays and their home at Rogers Centre, several television stations and an array of other media properties, including Maclean's and Chatelaine magazines. Rogers, who bought the Blue Jays in 2000, is survived by his wife, Loretta, and four children.
Mets: : Citi Field will remain the name of the team's new ballpark after a government bailout the team believes will help the struggling bank survive its economic crisis. Citigroup agreed in 2006 to pay the Mets $400 million over 20 years for naming rights to the stadium, scheduled to open next year. Two New York City councilmen said last week that the $800 million ballpark's name should be changed to Citi/Taxpayer Field.
Astros: : Relief pitcher Doug Brocail is staying with Houston, agreeing to a $2.75 million, one-year contract that includes a club option for 2010. The right-hander, 41, was a reliable setup man for Houston closer Jose Valverde this season, going 7-5 with a 3.93 ERA in a career-high 72 appearances.