Arguably, IT Governance should address sustainability. This study reviews a prominent IT governance framework, COBIT 5, to determine the extent to which it supports sustainability dimensions, especially as related to the acquisition, use and disposal of IT assets. Based on our analyses, we conclude that COBIT 5 does not adequately address sustainability concerns facing organizations today. The drivers, benefits, risks, and security considerations associated with sustainability in IT governance are explored in this discussion. We conclude our review with suggestions on how COBIT could be possibly be enhanced to remedy its present sustainability deficiencies.