diff --git a/pennylane_lightning/core/src/simulators/lightning_tensor/tncuda/MPOTNCuda.hpp b/pennylane_lightning/core/src/simulators/lightning_tensor/tncuda/MPOTNCuda.hpp
index 9c1c8dee5..cd7dbdf70 100644
--- a/pennylane_lightning/core/src/simulators/lightning_tensor/tncuda/MPOTNCuda.hpp
+++ b/pennylane_lightning/core/src/simulators/lightning_tensor/tncuda/MPOTNCuda.hpp
@@ -173,7 +173,10 @@ template <class PrecisionT> class MPOTNCuda {
             } else if (i == numMPOSites_ - 1) {
                 localModesExtents = {bondDims_[i - 1], 2, 2};
             } else {
+                // This branch is tested in the python layer
+                // LCOV_EXCL_START
                 localModesExtents = {bondDims_[i - 1], 2, bondDims_[i], 2};
+                // LCOV_EXCL_STOP
             }
 
             modesExtents_int64_.emplace_back(
diff --git a/pennylane_lightning/core/src/simulators/lightning_tensor/tncuda/gates/tests/Test_MPSTNCuda_NonParam.cpp b/pennylane_lightning/core/src/simulators/lightning_tensor/tncuda/gates/tests/Test_MPSTNCuda_NonParam.cpp
index db980e1f3..1792c728a 100644
--- a/pennylane_lightning/core/src/simulators/lightning_tensor/tncuda/gates/tests/Test_MPSTNCuda_NonParam.cpp
+++ b/pennylane_lightning/core/src/simulators/lightning_tensor/tncuda/gates/tests/Test_MPSTNCuda_NonParam.cpp
@@ -633,5 +633,29 @@ TEMPLATE_TEST_CASE("MPSTNCuda::applyMPO::2+_wires", "[MPSTNCuda_NonParam]",
 
             CHECK(res == Pennylane::Util::approx(ref));
         }
+
+        SECTION("Target at non-adjacent wire indices") {
+            std::size_t num_qubits = 3;
+
+            MPSTNCuda<TestType> mps_state{num_qubits, maxExtent, dev_tag};
+
+            MPSTNCuda<TestType> mps_state_mpo{num_qubits, maxExtent, dev_tag};
+
+            mps_state.applyOperations({"Hadamard", "Hadamard", "Hadamard"},
+                                      {{0}, {1}, {2}}, {false, false, false});
+
+            mps_state_mpo.applyOperations({"Hadamard", "Hadamard", "Hadamard"},
+                                          {{0}, {1}, {2}},
+                                          {false, false, false});
+
+            mps_state.applyOperation("CNOT", {0, 2}, inverse);
+
+            mps_state_mpo.applyMPOOperation(mpo_cnot, {0, 2}, max_mpo_bond);
+
+            auto ref = mps_state.getDataVector();
+            auto res = mps_state_mpo.getDataVector();
+
+            CHECK(res == Pennylane::Util::approx(ref));
+        }
     }
 }
diff --git a/pennylane_lightning/core/src/simulators/lightning_tensor/tncuda/gates/tests/Test_MPSTNCuda_Param.cpp b/pennylane_lightning/core/src/simulators/lightning_tensor/tncuda/gates/tests/Test_MPSTNCuda_Param.cpp
index 1385918cd..c5caa3171 100644
--- a/pennylane_lightning/core/src/simulators/lightning_tensor/tncuda/gates/tests/Test_MPSTNCuda_Param.cpp
+++ b/pennylane_lightning/core/src/simulators/lightning_tensor/tncuda/gates/tests/Test_MPSTNCuda_Param.cpp
@@ -1134,4 +1134,28 @@ TEMPLATE_TEST_CASE("MPSTNCuda::applyMPO::SingleExcitation", "[MPSTNCuda_Param]",
 
         CHECK(res == Pennylane::Util::approx(ref));
     }
+
+    SECTION("Target at non-adjacent wire indices") {
+        std::size_t num_qubits = 3;
+
+        MPSTNCuda<TestType> mps_state{num_qubits, maxExtent, dev_tag};
+
+        MPSTNCuda<TestType> mps_state_mpo{num_qubits, maxExtent, dev_tag};
+
+        mps_state.applyOperations({"Hadamard", "Hadamard", "Hadamard"},
+                                  {{0}, {1}, {2}}, {false, false, false});
+
+        mps_state_mpo.applyOperations({"Hadamard", "Hadamard", "Hadamard"},
+                                      {{0}, {1}, {2}}, {false, false, false});
+
+        mps_state.applyOperation("SingleExcitation", {0, 2}, false, {0.3});
+
+        mps_state_mpo.applyMPOOperation(mpo_single_excitation, {0, 2},
+                                        max_mpo_bond);
+
+        auto ref = mps_state.getDataVector();
+        auto res = mps_state_mpo.getDataVector();
+
+        CHECK(res == Pennylane::Util::approx(ref));
+    }
 }