With large amount of personal information being managed over the Internet, privacy protection in communication channels has become essential. Thus, steganography, a secret communication technique that conceals information in an image, is garnering attention. Using this method to communicate with embedded ciphertext, the detection rate of encrypted communication can be reduced and privacy protection can be strengthened by making it appear to a third party that only image communication is taking place. Currently, many steganography methods with improved capacity and robustness have been proposed. In addition, JPEG compression resistance verification is required to extend its versatility. Correlation-based BMP steganography in previous studies has improved confidentiality by embedding and extracting secret information using correlation. However, the compression resistance of generated images has not been verified. In this study, we evaluate compression resistance based on image quality and information recovery rate. Moreover, we show the minimum compression quality that satisfies the required acceptable retention conditions for JPEG compression of cover images.