Quantum computing is poised to revolutionize various industries, particularly data security and cryptography. As quantum computers develop, they threaten current cryptographic practices, making it essential for internal auditors to reassess encryption standards and advocate for quantum-safe algorithms. This article examines the implications of quantum computing on cryptography, emphasizing the need for internal audits to prepare for potential quantum threats. Internal auditors must evaluate organizations' readiness to address these challenges, ensuring disaster recovery plans consider quantum risks and promoting the adoption of post-quantum cryptography to safeguard sensitive data.