diff --git a/src/ModelingAlgorithms/TKBO/BOPTools/BOPTools_AlgoTools.cxx b/src/ModelingAlgorithms/TKBO/BOPTools/BOPTools_AlgoTools.cxx
index f708a5d2d9..e6e3bb5dfa 100644
--- a/src/ModelingAlgorithms/TKBO/BOPTools/BOPTools_AlgoTools.cxx
+++ b/src/ModelingAlgorithms/TKBO/BOPTools/BOPTools_AlgoTools.cxx
@@ -1072,6 +1072,14 @@ bool BOPTools_AlgoTools::GetFaceOff(const TopoDS_Edge&                        th
       {
         aAngle = aTwoPI;
       }
+      else if (!bIsComputed)
+      {
+        // Near-zero angle between different faces where the bi-normal direction could not be
+        // reliably computed (near-degenerate geometry, e.g. very thin face producing
+        // nearly-coincident intersection curves). Treat as maximum angle (2*PI) to prevent
+        // incorrect selection of this unreliable face over a proper closing face.
+        aAngle = aTwoPI;
+      }
     }
     //
     if (std::abs(aAngle) < anAngleCriteria || std::abs(aAngle - aAngleMin) < anAngleCriteria)