The Chicago White Sox announced Tuesday that left-handed reliever Bryan Hudson has been recalled from Triple-A Charlotte -- two days after the White Sox picked up Hudson off waivers from the Milwaukee Brewers.

To make room for the 28-year-old Hudson, the White Sox sent right-handed reliever Owen White back to Charlotte. The team also returned rookie first baseman Tim Elko (knee) from his rehab stint at Charlotte, removed him from the 10-day injured list and optioned him to Charlotte.

The White Sox's acquisition of Hudson, who posted an 0-1 record with a 4.35 ERA, 13 strikeouts and 12 walks over 10 1/3 innings with the Brewers this season, continued a season-long trend.

During MLB's Rule 5 draft in the offseason, the White Sox used the first pick to take unprotected Brewers prospect Shane Smith - who made the Opening Day roster and became the team's lone All-Star. On May 15, the White Sox grabbed infielder Vinny Capra off waivers from the Brewers. On June 8, the White Sox signed left-hander Tyler Alexander to a free-agent contract after he had been designated for assignment by the Brewers. Five days later, the Sox swapped first baseman Andrew Vaughn to the Brewers for right-handed starter Aaron Civale.

On Sunday, in addition to adding Hudson off waivers, the White Sox plucked right-handed reliever Edgar Peguero off waivers from the Brewers. Peguero was sent to Charlotte.