The right-handed Jenks, who had 29 saves while compiling a 3-4 record with a 3.71 earned run average in 2009, will earn $7.5 million, the White Sox said on their website (http://chicago.whitesox.mlb.com).
Quentin, who will make $3.2 million, hit .236 with 21 home runs and 56 runs batted in 99 games.
He was on the disabled list for almost two months with plantar fasciitis in his left foot a year after being an American League All-Star.
(Reporting by Gene Cherry in Salvo, North Carolina. Editing by Alastair Himmer)