diff --git a/modules/core/src/copy.cpp b/modules/core/src/copy.cpp
index 554256ddea..9531270903 100644
--- a/modules/core/src/copy.cpp
+++ b/modules/core/src/copy.cpp
@@ -478,6 +478,11 @@ static bool ipp_Mat_setTo_Mat(Mat &dst, Mat &_val, Mat &mask)
     if(dst.channels() > 4)
         return false;
 
+    if (dst.depth() == CV_32F)
+        for (int i = 0; i < (int)(_val.total()); i++)
+            if (_val.at<double>(i) < iwTypeGetMin(ipp32f) || _val.at<double>(i) > iwTypeGetMax(ipp32f))
+                return false;
+
     if(dst.dims <= 2)
     {
         IppiSize            size     = ippiSize(dst.size());
diff --git a/modules/core/test/test_arithm.cpp b/modules/core/test/test_arithm.cpp
index 72d8964cf6..5e80a55c65 100644
--- a/modules/core/test/test_arithm.cpp
+++ b/modules/core/test/test_arithm.cpp
@@ -2039,4 +2039,49 @@ TEST(Core_minMaxIdx, regression_9207_2)
     EXPECT_EQ(14, maxIdx[1]);
 }
 
+TEST(Core_Set, regression_11044)
+{
+    Mat testFloat(Size(3, 3), CV_32FC1);
+    Mat testDouble(Size(3, 3), CV_64FC1);
+
+    testFloat.setTo(1);
+    EXPECT_EQ(1, testFloat.at<float>(0,0));
+    testFloat.setTo(std::numeric_limits<float>::infinity());
+    EXPECT_EQ(std::numeric_limits<float>::infinity(), testFloat.at<float>(0, 0));
+    testFloat.setTo(1);
+    EXPECT_EQ(1, testFloat.at<float>(0, 0));
+    testFloat.setTo(std::numeric_limits<double>::infinity());
+    EXPECT_EQ(std::numeric_limits<float>::infinity(), testFloat.at<float>(0, 0));
+
+    testDouble.setTo(1);
+    EXPECT_EQ(1, testDouble.at<double>(0, 0));
+    testDouble.setTo(std::numeric_limits<float>::infinity());
+    EXPECT_EQ(std::numeric_limits<double>::infinity(), testDouble.at<double>(0, 0));
+    testDouble.setTo(1);
+    EXPECT_EQ(1, testDouble.at<double>(0, 0));
+    testDouble.setTo(std::numeric_limits<double>::infinity());
+    EXPECT_EQ(std::numeric_limits<double>::infinity(), testDouble.at<double>(0, 0));
+
+    Mat testMask(Size(3, 3), CV_8UC1, Scalar(1));
+
+    testFloat.setTo(1);
+    EXPECT_EQ(1, testFloat.at<float>(0, 0));
+    testFloat.setTo(std::numeric_limits<float>::infinity(), testMask);
+    EXPECT_EQ(std::numeric_limits<float>::infinity(), testFloat.at<float>(0, 0));
+    testFloat.setTo(1);
+    EXPECT_EQ(1, testFloat.at<float>(0, 0));
+    testFloat.setTo(std::numeric_limits<double>::infinity(), testMask);
+    EXPECT_EQ(std::numeric_limits<float>::infinity(), testFloat.at<float>(0, 0));
+
+
+    testDouble.setTo(1);
+    EXPECT_EQ(1, testDouble.at<double>(0, 0));
+    testDouble.setTo(std::numeric_limits<float>::infinity(), testMask);
+    EXPECT_EQ(std::numeric_limits<double>::infinity(), testDouble.at<double>(0, 0));
+    testDouble.setTo(1);
+    EXPECT_EQ(1, testDouble.at<double>(0, 0));
+    testDouble.setTo(std::numeric_limits<double>::infinity(), testMask);
+    EXPECT_EQ(std::numeric_limits<double>::infinity(), testDouble.at<double>(0, 0));
+}
+
 }} // namespace