diff --git a/.changeset/skip-converged-ph-iterations.md b/.changeset/skip-converged-ph-iterations.md
new file mode 100644
index 000000000..f799d0d6d
--- /dev/null
+++ b/.changeset/skip-converged-ph-iterations.md
@@ -0,0 +1,5 @@
+---
+"ftw": patch
+---
+
+Stop progressive hedging after its initial scenario solves when their decisions already meet the configured residual tolerance. This avoids a redundant solver iteration that could exhaust the time limit and discard a valid plan.
diff --git a/optimizer/ftw_optimizer/progressive.py b/optimizer/ftw_optimizer/progressive.py
index bd3664e04..2233fc471 100644
--- a/optimizer/ftw_optimizer/progressive.py
+++ b/optimizer/ftw_optimizer/progressive.py
@@ -113,6 +113,8 @@ def solve_progressive_hedging(
 
     iterations = 0
     for iteration in range(1, max_iterations + 1):
+        if residual_w <= tolerance_w:
+            break
         iterations = iteration
         for si, subproblem in enumerate(subproblems):
             subproblem.consensus_kw.value = consensus[si]
@@ -129,8 +131,6 @@ def solve_progressive_hedging(
         residual_w = _nonanticipativity_residual_w(prepared, decisions, consensus)
         for si, subproblem in enumerate(subproblems):
             dual[si] += subproblem.consensus_mask * (decisions[si] - consensus[si])
-        if residual_w <= tolerance_w:
-            break
     solver_ms = (time.perf_counter() - solver_started) * 1000.0
     if residual_w > tolerance_w:
         raise ProgressiveHedgingNotConverged(
diff --git a/optimizer/tests/test_model.py b/optimizer/tests/test_model.py
index e1def1015..a849ef867 100644
--- a/optimizer/tests/test_model.py
+++ b/optimizer/tests/test_model.py
@@ -1957,6 +1957,54 @@ def test_multistage_uses_progressive_hedging_only_for_eligible_large_convex_case
     assert response["solver"]["ph_residual_w"] <= 10
 
 
+def test_progressive_hedging_skips_iteration_for_converged_initial_solution(
+    monkeypatch: pytest.MonkeyPatch,
+) -> None:
+    from ftw_optimizer import progressive
+
+    request = base_request()
+    request["request_id"] = "ph-initial-consensus"
+    request["slots"] = request["slots"][:1]
+    request["settings"].update(
+        {
+            "scenario_policy": "multistage",
+            "formulation": "relaxed",
+            "decomposition_method": "progressive_hedging",
+            "ph_max_iterations": 4,
+            "ph_tolerance_w": 5,
+        }
+    )
+    request["scenarios"] = [
+        {
+            "id": "base",
+            "probability": 1,
+            "load_w": [500],
+            "pv_w": [0],
+        }
+    ]
+
+    original_solve = progressive._solve_problem
+    solve_calls = 0
+
+    def solve_once(*args, **kwargs) -> None:
+        nonlocal solve_calls
+        solve_calls += 1
+        if solve_calls > 1:
+            raise AssertionError("converged initial PH solution ran another solve")
+        original_solve(*args, **kwargs)
+
+    monkeypatch.setattr(progressive, "_solve_problem", solve_once)
+
+    response = handle(request)
+
+    assert response["ok"], response
+    assert solve_calls == 1
+    assert response["solver"]["status"] == "optimal-ph"
+    assert response["solver"]["ph_iterations"] == 0
+    assert response["solver"]["ph_residual_w"] == pytest.approx(0)
+    assert_storage_replays(request, response)
+
+
 def test_progressive_hedging_refuses_discrete_mode() -> None:
     request = base_request()
     request["settings"].update(