diff --git a/src/linalg.jl b/src/linalg.jl
index 322b506d..7ef517ab 100644
--- a/src/linalg.jl
+++ b/src/linalg.jl
@@ -1483,7 +1483,7 @@ const _Symmetric_DenseArrays{T,A<:Matrix} = Symmetric{T,A}
 const _Hermitian_DenseArrays{T,A<:Matrix} = Hermitian{T,A}
 const _Triangular_DenseArrays{T,A<:Matrix} = UpperOrLowerTriangular{<:Any,A} # AbstractTriangular{T,A}
 const _Annotated_DenseArrays = Union{_SpecialArrays, _Triangular_DenseArrays, _Symmetric_DenseArrays, _Hermitian_DenseArrays}
-const _DenseConcatGroup = Union{Number, Vector, Adjoint{<:Any,<:Vector}, Transpose{<:Any,<:Vector}, Matrix, _Annotated_DenseArrays}
+const _DenseKronGroup = Union{Number, Vector, Matrix, AdjOrTrans{<:Any,<:VecOrMat}, _Annotated_DenseArrays}
 
 @inline function kron!(C::SparseMatrixCSC, A::AbstractSparseMatrixCSC, B::AbstractSparseMatrixCSC)
     mA, nA = size(A); mB, nB = size(B)
@@ -1541,9 +1541,9 @@ end
     end
     return z
 end
-kron!(C::SparseMatrixCSC, A::_SparseKronGroup, B::_DenseConcatGroup) =
+kron!(C::SparseMatrixCSC, A::_SparseKronGroup, B::_DenseKronGroup) =
     kron!(C, convert(SparseMatrixCSC, A), convert(SparseMatrixCSC, B))
-kron!(C::SparseMatrixCSC, A::_DenseConcatGroup, B::_SparseKronGroup) =
+kron!(C::SparseMatrixCSC, A::_DenseKronGroup, B::_SparseKronGroup) =
     kron!(C, convert(SparseMatrixCSC, A), convert(SparseMatrixCSC, B))
 kron!(C::SparseMatrixCSC, A::_SparseKronGroup, B::_SparseKronGroup) =
     kron!(C, convert(SparseMatrixCSC, A), convert(SparseMatrixCSC, B))
@@ -1580,8 +1580,8 @@ end
 # extend to annotated sparse arrays, but leave out the (dense ⊗ dense)-case
 kron(A::_SparseKronGroup, B::_SparseKronGroup) =
     kron(convert(SparseMatrixCSC, A), convert(SparseMatrixCSC, B))
-kron(A::_SparseKronGroup, B::_DenseConcatGroup) = kron(A, sparse(B))
-kron(A::_DenseConcatGroup, B::_SparseKronGroup) = kron(sparse(A), B)
+kron(A::_SparseKronGroup, B::_DenseKronGroup) = kron(A, sparse(B))
+kron(A::_DenseKronGroup, B::_SparseKronGroup) = kron(sparse(A), B)
 kron(A::_SparseVectorUnion, B::_AdjOrTransSparseVectorUnion) = A .* B
 # disambiguation
 kron(A::AbstractCompressedVector, B::AdjOrTrans{<:Any,<:AbstractCompressedVector}) = A .* B
diff --git a/test/linalg.jl b/test/linalg.jl
index c9aef837..a9396ebf 100644
--- a/test/linalg.jl
+++ b/test/linalg.jl
@@ -751,31 +751,27 @@ end
                 @test Array(kron(t(a), c_di)::SparseMatrixCSC) == kron(t(a_d), c_d)
                 @test Array(kron(a, t(c_di))::SparseMatrixCSC) == kron(a_d, t(c_d))
                 @test Array(kron(t(a), t(c_di))::SparseMatrixCSC) == kron(t(a_d), t(c_d))
-                @test issparse(kron(c_di, y))
-                @test Array(kron(c_di, y)) == kron(c_di, y_d)
-                @test issparse(kron(x, d_di))
-                @test Array(kron(x, d_di)) == kron(x_d, d_di)
+                @test Array(kron(c_di, y)::SparseMatrixCSC) == kron(c_di, y_d)
+                @test Array(kron(x, d_di)::SparseMatrixCSC) == kron(x_d, d_di)
             end
         end
         # vec ⊗ vec
-        @test Vector(kron(x, y)) == kron(x_d, y_d)
-        @test Vector(kron(x_d, y)) == kron(x_d, y_d)
-        @test Vector(kron(x, y_d)) == kron(x_d, y_d)
+        @test Vector(kron(x, y)::SparseVector) == kron(x_d, y_d)
+        @test Vector(kron(x_d, y)::SparseVector) == kron(x_d, y_d)
+        @test Vector(kron(x, y_d)::SparseVector) == kron(x_d, y_d)
         for t in (identity, adjoint, transpose)
             # mat ⊗ vec
             @test Array(kron(t(a), y)::SparseMatrixCSC) == kron(t(a_d), y_d)
-            @test Array(kron(t(a_d), y)) == kron(t(a_d), y_d)
+            @test Array(kron(t(a_d), y)::SparseMatrixCSC) == kron(t(a_d), y_d)
             @test Array(kron(t(a), y_d)::SparseMatrixCSC) == kron(t(a_d), y_d)
             # vec ⊗ mat
             @test Array(kron(x, t(b))::SparseMatrixCSC) == kron(x_d, t(b_d))
             @test Array(kron(x_d, t(b))::SparseMatrixCSC) == kron(x_d, t(b_d))
-            @test Array(kron(x, t(b_d))) == kron(x_d, t(b_d))
+            @test Array(kron(x, t(b_d))::SparseMatrixCSC) == kron(x_d, t(b_d))
         end
         # vec ⊗ vec'
-        @test issparse(kron(v, y'))
-        @test issparse(kron(x, y'))
-        @test Array(kron(v, y')) == kron(v_d, y_d')
-        @test Array(kron(x, y')) == kron(x_d, y_d')
+        @test Array(kron(v, y')::SparseMatrixCSC) == kron(v_d, y_d')
+        @test Array(kron(x, y')::SparseMatrixCSC) == kron(x_d, y_d')
         # test different types
         z = convert(SparseVector{Float16, Int8}, y); z_d = Vector(z)
         @test Vector(kron(x, z)) == kron(x_d, z_d)