Urquidy will start Monday's game against the Rangers at Rate Field, James Fegan of The Chicago Sun-Times reports.
Newcomb will serve as the White Sox's opener for Sunday's game against the Mets, Brooke Fletcher of Chicago Sports Network reports.
Snell (2-1) earned the win Sunday, allowing two hits, three walks and a hit-by-pitch over six scoreless innings against the Pirates. He struck out six.
Taylor (6-2) was charged with a blown save but credited with the win Sunday against the Mets, allowing one run on two hits and two walks in the ninth inning. He struck out two.
Fedde took a no-decision against the Mets on Sunday, allowing no runs on three hits and one walk in four relief innings. He struck out two.
Manager Dave Roberts said Sunday that Lauer will be available out of the bullpen going forward, Fabian Ardaya of The Athletic reports.
Pages had a compression screw inserted into his fractured left hand Sunday in an attempt to expedite healing, Fabian Ardaya of The Athletic reports.
Manager Dave Roberts said Sunday that Smith (neck) will begin a rehab assignment with Triple-A Oklahoma City on Tuesday, Katie Woo of The Athletic reports.
Thomas will start in center field and bat eighth in Sunday's game against the Pirates.
Cousins (elbow) faced live hitters Saturday, Fabian Ardaya of The Athletic reports.
