diff --git a/modules/imgproc/test/ocl/test_warp.cpp b/modules/imgproc/test/ocl/test_warp.cpp
index 73d93bb41f..d44ffd102e 100644
--- a/modules/imgproc/test/ocl/test_warp.cpp
+++ b/modules/imgproc/test/ocl/test_warp.cpp
@@ -500,10 +500,10 @@ PARAM_TEST_CASE(RemapRelative, MatDepth, Channels, Interpolation, BorderType, bo
         data64FC1.reshape(nChannels, size.height).convertTo(src, srcType);
 
         cv::Mat mapRelativeX32F(size, CV_32FC1);
-        mapRelativeX32F.setTo(cv::Scalar::all(-0.33));
+        mapRelativeX32F.setTo(cv::Scalar::all(-0.25));
 
         cv::Mat mapRelativeY32F(size, CV_32FC1);
-        mapRelativeY32F.setTo(cv::Scalar::all(-0.33));
+        mapRelativeY32F.setTo(cv::Scalar::all(-0.25));
 
         cv::Mat mapAbsoluteX32F = mapRelativeX32F.clone();
         mapAbsoluteX32F.forEach<float>([&](float& pixel, const int* position) {
diff --git a/modules/imgproc/test/test_imgwarp.cpp b/modules/imgproc/test/test_imgwarp.cpp
index 2ff1ca88ab..66d930310a 100644
--- a/modules/imgproc/test/test_imgwarp.cpp
+++ b/modules/imgproc/test/test_imgwarp.cpp
@@ -1332,10 +1332,10 @@ TEST_P(Imgproc_RemapRelative, validity)
     data64FC1.reshape(nChannels, size.height).convertTo(src, srcType);
 
     cv::Mat mapRelativeX32F(size, CV_32FC1);
-    mapRelativeX32F.setTo(cv::Scalar::all(-0.33));
+    mapRelativeX32F.setTo(cv::Scalar::all(-0.25));
 
     cv::Mat mapRelativeY32F(size, CV_32FC1);
-    mapRelativeY32F.setTo(cv::Scalar::all(-0.33));
+    mapRelativeY32F.setTo(cv::Scalar::all(-0.25));
 
     cv::Mat mapAbsoluteX32F = mapRelativeX32F.clone();
     mapAbsoluteX32F.forEach<float>([&](float& pixel, const int* position) {
@@ -1371,7 +1371,7 @@ TEST_P(Imgproc_RemapRelative, validity)
         cv::remap(src, dstRelative, mapRelativeX32F, mapRelativeY32F, interpolation | WARP_RELATIVE_MAP, borderType);
     }
 
-    EXPECT_EQ(cvtest::norm(dstAbsolute, dstRelative, NORM_INF), 0);
+    EXPECT_LE(cvtest::norm(dstAbsolute, dstRelative, NORM_INF), 1);
 };
 
 INSTANTIATE_TEST_CASE_P(ImgProc, Imgproc_RemapRelative, testing::Combine(