An authentication watermarking technique (AWT) inserts hidden data into an image in order to detect any accidental or malicious alteration to the image. AWT usually computes, using a secret-key, the message authentication code (MAC) of the image, and somehow inserts MAC into the image itself. The authentication verification is performed using the same secret-key used in the insertion. JBIG2 is an international standard for lossy and lossless binary image compression. It decomposes the image into several regions (text, halftone, line-art) and encodes each one using the most appropriate method. This paper proposes a novel data-hiding technique to embed the data into the text region of a JBIG2 file. We, then, use it to create an AWT for a JBIG2-encoded image. The embedded data can be extracted from either the JBIG2 file itself or the binary image obtained by decoding the JBIG2 file.