Quantum computers can compromise existing cryptographic algorithms used to secure information and communication infrastructures. To remediate quantum threats, organizations are required to transition from vulnerable algorithms to post-quantum standards. Recent developments indicate that mandates pertaining to this transition are approaching. This needs organizations to engage in quantum preparation initiatives, which include creating a cryptography inventory, quantum risk assessment, and roadmapping processes. This research investigates factors influencing organizational intentions for quantum threat preparation based on the technology-organization-environment framework. Six influential factors were identified using data from 196 participants involved in enterprise-wide technology decision-making. Quantum threat awareness, stakeholder expectations, and perceived quantum risk were found to be strong drivers for quantum threat preparations. The findings highlight important steps that need to be taken to drive quantum preparation efforts, and provide insights into determinants of proactiveness in organizational cybersecurity management to address emerging threats.