A nonwoven web for an absorbent article is provided. The absorbent article comprises the nonwoven web as a core wrap. A method for producing the absorbent article is also provided. The nonwoven web comprises a first nonwoven layer comprising filament fibers, a second nonwoven layer comprising filaments fibers, a third nonwoven layer comprising staple fibers disposed between the first and second nonwoven layers. A total basis weight of the first and second nonwoven layers is not less than about 10 gsm. The third nonwoven layer has a basis weight no greater than about 4 gsm. The nonwoven web comprises pores, wherein greater than about 80% of the pores have a pore size equal to or smaller than about 40 μm, and wherein less than about 10% of the pores have a pore size equal to or greater than about 45 μm.