Apparatus for forming an air formed fibrous web has a form member on which fluent fibrous material is deposited in an air formed deposition process. The fibrous web may be used as an absorbent core of an absorbent article. The form member has a forming surface with a pocket for making a thicker portion of the fibrous web such as for a liquid holding formation of the absorbent core. The pocket has a bottom surface which is shaped so that additional material will be deposited in the pocket. A form member and an absorbent core made using the apparatus are also disclosed.