The present invention relates to a lid (1) configured to be attached to a fluid container of a drinking bottle. The lid (1) comprises a body (5), and a spout (6) protruding from the body (5) and having a discharge opening (7) at a top portion (8) thereof. The body (5) is provided with a recess (10a-b) extending along a part of a transition (11) between the body (5) and the spout (6). The recess (10a-b) is configured to receive a portion of the lip of a user when the user drinks from the drinking bottle so as to make a spout remote elevation (14a-b) of said recess (10a-b) to bear against lip adjacent portions of the cheek of the user to thereby seal the lip portion received in said recess (10a-b) with respect to the environment. The invention also relates to a baby bottle provided with such a lid (1).