Request migration and interruption recovery in distributed large language model (LLM) inference rely on historical key-value (KV) caches. Retaining or transferring a complete cache incurs substantial state overhead, whereas replaying historical tokens requires additional computation. This paper proposes RISK-KV, a quality-aware method for selective historical KV reconstruction in pretrained models. RISK-KV uses exact KV states on both sides of a target layer and cross-layer ridge regression to predict the missing layer's attention-projection input; it then folds in the original model's KV projection matrices to reduce predictor storage. Reconstruction risk is measured by the change in negative log-likelihood (NLL) caused by actual reconstruction, and low-overhead topology search with quality gating selects the layer groups to reconstruct. Independent tests on three language models show that representative recovery configurations omit 18.2 percent to 33.3 percent of historical KV, with perplexity changes below 0.5 percent. In a local request-recovery experiment with a 512-token history, RISK-KV achieves a 1.51 to 3.31 times speedup over full Token Replay. These results indicate that selective KV reconstruction can reduce historical cache overhead with small changes in predictive quality and improve request-recovery efficiency under the evaluated deployment conditions.

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