diff --git a/modules/core/include/opencv2/core/eigen.hpp b/modules/core/include/opencv2/core/eigen.hpp
index c8603aca97..741648edb8 100644
--- a/modules/core/include/opencv2/core/eigen.hpp
+++ b/modules/core/include/opencv2/core/eigen.hpp
@@ -60,7 +60,7 @@ namespace cv
 //! @{
 
 template<typename _Tp, int _rows, int _cols, int _options, int _maxRows, int _maxCols> static inline
-void eigen2cv( const Eigen::Matrix<_Tp, _rows, _cols, _options, _maxRows, _maxCols>& src, Mat& dst )
+void eigen2cv( const Eigen::Matrix<_Tp, _rows, _cols, _options, _maxRows, _maxCols>& src, OutputArray dst )
 {
     if( !(src.Flags & Eigen::RowMajorBit) )
     {
diff --git a/modules/core/test/test_mat.cpp b/modules/core/test/test_mat.cpp
index 91a93539fc..f585c4f28f 100644
--- a/modules/core/test/test_mat.cpp
+++ b/modules/core/test/test_mat.cpp
@@ -3,6 +3,12 @@
 // of this distribution and at http://opencv.org/license.html.
 #include "test_precomp.hpp"
 
+#ifdef HAVE_EIGEN
+#include <Eigen/Core>
+#include <Eigen/Dense>
+#include "opencv2/core/eigen.hpp"
+#endif
+
 namespace opencv_test { namespace {
 
 class Core_ReduceTest : public cvtest::BaseTest
@@ -1972,4 +1978,22 @@ TEST(Core_Vectors, issue_13078_workaround)
     ASSERT_EQ(7, ints[3]);
 }
 
+
+#ifdef HAVE_EIGEN
+TEST(Core_Eigen, eigen2cv_check_Mat_type)
+{
+    Mat A(4, 4, CV_32FC1, Scalar::all(0));
+    Eigen::MatrixXf eigen_A;
+    cv2eigen(A, eigen_A);
+
+    Mat_<float> f_mat;
+    EXPECT_NO_THROW(eigen2cv(eigen_A, f_mat));
+    EXPECT_EQ(CV_32FC1, f_mat.type());
+
+    Mat_<double> d_mat;
+    EXPECT_ANY_THROW(eigen2cv(eigen_A, d_mat));
+    //EXPECT_EQ(CV_64FC1, d_mat.type());
+}
+#endif // HAVE_EIGEN
+
 }} // namespace