Recent architectural approaches that address speculative side-channel attacks aim to prevent software from exposing the microarchitectural state changes of transient execution. The Delay-on-Miss technique is one such approach, which simply delays loads that miss in the L1 cache until they become non-speculative, resulting in no transient changes in the memory hierarchy. However, this costs performance, prompting the use of value prediction (VP) to regain some of the delay. However, the problem cannot be solved by simply introducing a new kind of speculation (value prediction). Value-predicted loads have to be validated, which cannot be commenced until the load becomes non-speculative. Thus, value-predicted loads occupy the same amount of precious core resources (e.g., reorder buffer entries) as Delay-on-Miss. The end result is that VP only yields marginal benefits over Delay-on-Miss. In this paper, our insight is that we can achieve the same goal as VP (increasing performance by providing the value of loads that miss) without incurring its negative side-effect (delaying the release of precious resources), if we can safely, non-speculatively, recompute a value in isolation (without being seen from the outside), so that we do not expose any information by transferring such a value via the memory hierarchy. Value Recomputation, which trades computation for data transfer was previously proposed in an entirely different context: to reduce energy-expensive data transfers in the memory hierarchy. In this paper, we demonstrate the potential of value recomputation in relation to the Delay-on-Miss approach of hiding speculation, discuss the trade-offs, and show that we can achieve the same level of security, reaching 93% of the unsecured baseline performance (5% higher than Delay-on-miss), and exceeding (by 3%) what even an oracular (100% accuracy and coverage) value predictor could do.