 After the season, he was traded to the White Sox, along with Ozzie Guillén, Bill Long and Luis Salazar, primarily in exchange for LaMarr Hoyt.Lollar stayed with the White Sox for just a few months before being traded to the Red Sox for outfielder Reid Nichols.In 1986, the Red Sox converted Lollar into a relief pitcher, but Lollar posted a 6.91 ERA while giving up nearly two baserunners per inning.