diff --git a/unsupported/Eigen/CXX11/src/Tensor/TensorBase.h b/unsupported/Eigen/CXX11/src/Tensor/TensorBase.h
index c4dedc160..93753985f 100644
--- a/unsupported/Eigen/CXX11/src/Tensor/TensorBase.h
+++ b/unsupported/Eigen/CXX11/src/Tensor/TensorBase.h
@@ -934,6 +934,7 @@ class TensorBase<Derived, ReadOnlyAccessors>
     template <Index DimId> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
     const TensorChippingOp<DimId, const Derived>
     chip(const Index offset) const {
+      EIGEN_STATIC_ASSERT(DimId < Derived::NumDimensions && DimId >= 0, Chip_Dim_out_of_range)
       return TensorChippingOp<DimId, const Derived>(derived(), offset, DimId);
     }
     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
@@ -1132,11 +1133,13 @@ class TensorBase : public TensorBase<Derived, ReadOnlyAccessors> {
     template <DenseIndex DimId> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
     const TensorChippingOp<DimId, const Derived>
     chip(const Index offset) const {
+      EIGEN_STATIC_ASSERT(DimId < Derived::NumDimensions && DimId >= 0, Chip_Dim_out_of_range)
       return TensorChippingOp<DimId, const Derived>(derived(), offset, DimId);
     }
     template <Index DimId> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
     TensorChippingOp<DimId, Derived>
     chip(const Index offset) {
+      EIGEN_STATIC_ASSERT(DimId < Derived::NumDimensions && DimId >= 0, Chip_Dim_out_of_range)
       return TensorChippingOp<DimId, Derived>(derived(), offset, DimId);
     }
 
diff --git a/unsupported/Eigen/CXX11/src/Tensor/TensorChipping.h b/unsupported/Eigen/CXX11/src/Tensor/TensorChipping.h
index 8a784af31..481822109 100644
--- a/unsupported/Eigen/CXX11/src/Tensor/TensorChipping.h
+++ b/unsupported/Eigen/CXX11/src/Tensor/TensorChipping.h
@@ -78,7 +78,10 @@ class TensorChippingOp : public TensorBase<TensorChippingOp<DimId, XprType> > {
   typedef typename Eigen::internal::traits<TensorChippingOp>::Index Index;
 
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorChippingOp(const XprType& expr, const Index offset, const Index dim)
-      : m_xpr(expr), m_offset(offset), m_dim(dim) {}
+      : m_xpr(expr), m_offset(offset), m_dim(dim) {
+    eigen_assert(dim < XprType::NumDimensions && dim >= 0 && "Chip_Dim_out_of_range");
+    eigen_assert(offset < expr.dimension(DimId) && offset >= 0 && "Chip_Offset_out_of_range");
+  }
 
   EIGEN_DEVICE_FUNC const Index offset() const { return m_offset; }
   EIGEN_DEVICE_FUNC const Index dim() const { return m_dim.actualDim(); }