diff --git a/include/xsimd/types/xsimd_batch.hpp b/include/xsimd/types/xsimd_batch.hpp
index b54d84aae..c4c9179de 100644
--- a/include/xsimd/types/xsimd_batch.hpp
+++ b/include/xsimd/types/xsimd_batch.hpp
@@ -271,9 +271,6 @@ namespace xsimd
         XSIMD_INLINE batch logical_or(batch const& other) const noexcept;
     };
 
-    template <class T, class A>
-    constexpr std::size_t batch<T, A>::size;
-
     /**
      * @brief batch of predicate over scalar or complex values.
      *
@@ -344,9 +341,6 @@ namespace xsimd
         static XSIMD_INLINE register_type make_register(detail::index_sequence<>, V... v) noexcept;
     };
 
-    template <class T, class A>
-    constexpr std::size_t batch_bool<T, A>::size;
-
     /**
      * @brief batch of complex values.
      *
@@ -476,9 +470,6 @@ namespace xsimd
         real_batch m_imag;
     };
 
-    template <class T, class A>
-    constexpr std::size_t batch<std::complex<T>, A>::size;
-
 #ifdef XSIMD_ENABLE_XTL_COMPLEX
     template <typename T, bool i3ec, typename A>
     struct batch<xtl::xcomplex<T, T, i3ec>, A>
diff --git a/include/xsimd/types/xsimd_traits.hpp b/include/xsimd/types/xsimd_traits.hpp
index 0d5565b78..13d3c1da8 100644
--- a/include/xsimd/types/xsimd_traits.hpp
+++ b/include/xsimd/types/xsimd_traits.hpp
@@ -53,9 +53,6 @@ namespace xsimd
             static constexpr size_t size = 1;
         };
 
-        template <class T>
-        constexpr size_t simd_traits_impl<T, false>::size;
-
         template <class T>
         struct simd_traits_impl<T, true>
         {
@@ -64,9 +61,6 @@ namespace xsimd
             static constexpr size_t size = type::size;
         };
 
-        template <class T>
-        constexpr size_t simd_traits_impl<T, true>::size;
-
         template <class T, class A>
         struct static_check_supported_config_emitter
         {
@@ -128,9 +122,6 @@ namespace xsimd
         static constexpr size_t size = simd_traits<type>::size;
     };
 
-    template <class T>
-    constexpr size_t revert_simd_traits<T>::size;
-
     template <class T>
     struct revert_simd_traits<batch<T>>
     {
@@ -138,9 +129,6 @@ namespace xsimd
         static constexpr size_t size = batch<T>::size;
     };
 
-    template <class T>
-    constexpr size_t revert_simd_traits<batch<T>>::size;
-
     template <class T>
     using simd_type = typename simd_traits<T>::type;