A venting closure (10) for containers (12) having a pour opening (14) defined by a circumferential rim (16) includes a top wall (20) having inner (22) and outer (24) surfaces. A side skirt (26) extends from the top wall (20) about the inner surface (22). A liner (28) is mounted adjacent the inner surface (22) for perfecting a seal between the top wall (20) and the circumferential rim (16) when the closure (10) is secured upon the rim (16) and over the opening (14). The liner (28) includes a gas impermeable non-hydrophobic portion (30) at least about the periphery of the liner (28) and an integral gas permeable hydrophobic portion (32) offset therefrom.