diff --git a/src/aituner/slo.py b/src/aituner/slo.py
index 6bc8ff0..1a86a8d 100644
--- a/src/aituner/slo.py
+++ b/src/aituner/slo.py
@@ -29,6 +29,9 @@ def _rule_threshold_ms(rule: ThresholdRule, prompt_tokens: int | None) -> float:
     if rule.kind == "fixed_ms":
         assert rule.threshold_ms is not None
         return rule.threshold_ms
+    if rule.kind == "linear_ms":
+        assert rule.intercept_ms is not None and rule.per_token_ms is not None
+        return float(rule.intercept_ms) + float(rule.per_token_ms) * float(prompt_tokens or 0)
     if rule.kind != "step_ms":
         raise ValueError(f"Unsupported threshold rule: {rule.kind}")
     prompt = float(prompt_tokens or 0)
diff --git a/src/aituner/spec.py b/src/aituner/spec.py
index c90a372..97b71d8 100644
--- a/src/aituner/spec.py
+++ b/src/aituner/spec.py
@@ -504,6 +504,8 @@ class ThresholdRule:
     kind: str
     threshold_ms: float | None = None
     buckets: list[dict[str, float]] = field(default_factory=list)
+    intercept_ms: float | None = None
+    per_token_ms: float | None = None
 
     @classmethod
     def from_dict(cls, data: Mapping[str, Any], *, context: str) -> "ThresholdRule":
@@ -515,6 +517,18 @@ class ThresholdRule:
                     data.get("threshold_ms"), context=f"{context}.threshold_ms"
                 ),
             )
+        if kind == "linear_ms":
+            # threshold = intercept_ms + per_token_ms * input_tokens
+            # e.g. "4s + L_in/8k" -> intercept_ms=4000, per_token_ms=0.125
+            intercept_ms = _require_float(
+                data.get("intercept_ms"), context=f"{context}.intercept_ms"
+            )
+            per_token_ms = _require_float(
+                data.get("per_token_ms"), context=f"{context}.per_token_ms"
+            )
+            if intercept_ms < 0 or per_token_ms < 0:
+                raise SpecError(f"{context}.intercept_ms/per_token_ms must be >= 0.")
+            return cls(kind=kind, intercept_ms=intercept_ms, per_token_ms=per_token_ms)
         if kind == "step_ms":
             raw = data.get("buckets")
             if not isinstance(raw, list) or not raw:
diff --git a/tests/test_core_flow.py b/tests/test_core_flow.py
index 3831c36..b1cbfe7 100644
--- a/tests/test_core_flow.py
+++ b/tests/test_core_flow.py
@@ -44,6 +44,7 @@ from aituner.spec import (
     ConfigPatch,
     LLMEndpointSpec,
     Proposal,
+    SloSpec,
     SpecError,
     StudyState,
     TrialSummary,
@@ -531,6 +532,34 @@ class CoreFlowTests(unittest.TestCase):
             )
         )
 
+    def test_linear_ms_ttft_rule_scales_with_input_length(self) -> None:
+        slo = SloSpec.from_dict(
+            {
+                "target_pass_rate": 0.95,
+                "ttft_rule": {"kind": "linear_ms", "intercept_ms": 4000, "per_token_ms": 0.125},
+                "tpot_rule": {"kind": "fixed_ms", "threshold_ms": 50},
+            }
+        )
+
+        def ev(prompt_tokens: int, ttft_ms: float):
+            return evaluate_request(
+                RequestOutcome(
+                    request_id="r",
+                    success=True,
+                    ttft_ms=ttft_ms,
+                    tpot_ms=10.0,
+                    prompt_tokens=prompt_tokens,
+                    completion_tokens=8,
+                ),
+                slo,
+            )
+
+        # threshold = 4000 + 0.125*L_in : 8k->5000ms, 0->4000ms
+        self.assertTrue(ev(8000, 4900).passed)
+        self.assertFalse(ev(8000, 5100).passed)
+        self.assertTrue(ev(0, 3900).passed)
+        self.assertFalse(ev(0, 4100).passed)
+
     def test_lca_similarity_matrix_separates_different_profiles(self) -> None:
         window = WindowRecord(
             window_id="base",