diff --git a/src/dawn/tests/end2end/CopyTests.cpp b/src/dawn/tests/end2end/CopyTests.cpp
index 843baec60b..295ad526fe 100644
--- a/src/dawn/tests/end2end/CopyTests.cpp
+++ b/src/dawn/tests/end2end/CopyTests.cpp
@@ -1024,6 +1024,10 @@ TEST_P(CopyTests_T2B, BytesPerRowShouldNotCauseBufferOOBIfCopyHeightIsOne) {
 // A regression test for a bug on D3D12 backend that causes crash when doing texture-to-texture
 // copy one row with the texture format Depth32Float.
 TEST_P(CopyTests_T2B, CopyOneRowWithDepth32Float) {
+    // TODO(crbug.com/dawn/667): Work around the fact that some platforms do not support reading
+    // depth.
+    DAWN_TEST_UNSUPPORTED_IF(HasToggleEnabled("disable_depth_read"));
+
     // TODO(crbug.com/dawn/727): currently this test fails on many D3D12 drivers.
     DAWN_SUPPRESS_TEST_IF(IsD3D12());
 
diff --git a/src/dawn/tests/end2end/DepthBiasTests.cpp b/src/dawn/tests/end2end/DepthBiasTests.cpp
index 49ac335c1a..5a6134b0e6 100644
--- a/src/dawn/tests/end2end/DepthBiasTests.cpp
+++ b/src/dawn/tests/end2end/DepthBiasTests.cpp
@@ -143,6 +143,10 @@ class DepthBiasTests : public DawnTest {
 
 // Test adding positive bias to output
 TEST_P(DepthBiasTests, PositiveBiasOnFloat) {
+    // TODO(crbug.com/dawn/667): Work around the fact that some platforms do not support reading
+    // depth.
+    DAWN_TEST_UNSUPPORTED_IF(HasToggleEnabled("disable_depth_read"));
+
     // NVIDIA GPUs under Vulkan seem to be using a different scale than everyone else.
     DAWN_SUPPRESS_TEST_IF(IsVulkan() && IsNvidia());
 
@@ -186,6 +190,10 @@ TEST_P(DepthBiasTests, PositiveBiasOnFloatWithClamp) {
 
 // Test adding negative bias to output
 TEST_P(DepthBiasTests, NegativeBiasOnFloat) {
+    // TODO(crbug.com/dawn/667): Work around the fact that some platforms do not support reading
+    // depth.
+    DAWN_TEST_UNSUPPORTED_IF(HasToggleEnabled("disable_depth_read"));
+
     // NVIDIA GPUs seems to be using a different scale than everyone else
     DAWN_SUPPRESS_TEST_IF(IsVulkan() && IsNvidia());
 
@@ -228,6 +236,10 @@ TEST_P(DepthBiasTests, NegativeBiasOnFloatWithClamp) {
 
 // Test adding positive infinite slope bias to output
 TEST_P(DepthBiasTests, PositiveInfinitySlopeBiasOnFloat) {
+    // TODO(crbug.com/dawn/667): Work around the fact that some platforms do not support reading
+    // depth.
+    DAWN_TEST_UNSUPPORTED_IF(HasToggleEnabled("disable_depth_read"));
+
     // NVIDIA GPUs do not clamp values to 1 when using Inf slope bias.
     DAWN_SUPPRESS_TEST_IF(IsVulkan() && IsNvidia());
 
@@ -247,6 +259,10 @@ TEST_P(DepthBiasTests, PositiveInfinitySlopeBiasOnFloat) {
 
 // Test adding positive infinite slope bias to output
 TEST_P(DepthBiasTests, NegativeInfinityBiasOnFloat) {
+    // TODO(crbug.com/dawn/667): Work around the fact that some platforms do not support reading
+    // depth.
+    DAWN_TEST_UNSUPPORTED_IF(HasToggleEnabled("disable_depth_read"));
+
     // NVIDIA GPUs do not clamp values to 0 when using -Inf slope bias.
     DAWN_SUPPRESS_TEST_IF(IsVulkan() && IsNvidia());
 
@@ -266,6 +282,10 @@ TEST_P(DepthBiasTests, NegativeInfinityBiasOnFloat) {
 
 // Test tiledX quad with no bias
 TEST_P(DepthBiasTests, NoBiasTiltedXOnFloat) {
+    // TODO(crbug.com/dawn/667): Work around the fact that some platforms do not support reading
+    // depth.
+    DAWN_TEST_UNSUPPORTED_IF(HasToggleEnabled("disable_depth_read"));
+
     // Draw quad with z from 0 to 0.5 with no bias
     RunDepthBiasTest(wgpu::TextureFormat::Depth32Float, 0, QuadAngle::TiltedX, 0, 0, 0);
 
@@ -281,6 +301,10 @@ TEST_P(DepthBiasTests, NoBiasTiltedXOnFloat) {
 
 // Test adding positive slope bias to output
 TEST_P(DepthBiasTests, PositiveSlopeBiasOnFloat) {
+    // TODO(crbug.com/dawn/667): Work around the fact that some platforms do not support reading
+    // depth.
+    DAWN_TEST_UNSUPPORTED_IF(HasToggleEnabled("disable_depth_read"));
+
     // Draw quad with z from 0 to 0.5 with a slope bias of 1
     RunDepthBiasTest(wgpu::TextureFormat::Depth32Float, 0, QuadAngle::TiltedX, 0, 1, 0);
 
@@ -296,6 +320,10 @@ TEST_P(DepthBiasTests, PositiveSlopeBiasOnFloat) {
 
 // Test adding negative half slope bias to output
 TEST_P(DepthBiasTests, NegativeHalfSlopeBiasOnFloat) {
+    // TODO(crbug.com/dawn/667): Work around the fact that some platforms do not support reading
+    // depth.
+    DAWN_TEST_UNSUPPORTED_IF(HasToggleEnabled("disable_depth_read"));
+
     // Draw quad with z from 0 to 0.5 with a slope bias of -0.5
     RunDepthBiasTest(wgpu::TextureFormat::Depth32Float, 0, QuadAngle::TiltedX, 0, -0.5, 0);
 
diff --git a/src/dawn/tests/end2end/SubresourceRenderAttachmentTests.cpp b/src/dawn/tests/end2end/SubresourceRenderAttachmentTests.cpp
index 670708c7b7..bcb16c734e 100644
--- a/src/dawn/tests/end2end/SubresourceRenderAttachmentTests.cpp
+++ b/src/dawn/tests/end2end/SubresourceRenderAttachmentTests.cpp
@@ -151,6 +151,10 @@ TEST_P(SubresourceRenderAttachmentTest, ColorTexture) {
 
 // Test rendering into a subresource of a depth texture
 TEST_P(SubresourceRenderAttachmentTest, DepthTexture) {
+    // TODO(crbug.com/dawn/667): Work around the fact that some platforms do not support reading
+    // depth.
+    DAWN_TEST_UNSUPPORTED_IF(HasToggleEnabled("disable_depth_read"));
+
     DoTest(Type::Depth);
 }
 
diff --git a/src/dawn/tests/end2end/ViewportTests.cpp b/src/dawn/tests/end2end/ViewportTests.cpp
index b58591130b..f27d052e2a 100644
--- a/src/dawn/tests/end2end/ViewportTests.cpp
+++ b/src/dawn/tests/end2end/ViewportTests.cpp
@@ -172,11 +172,19 @@ TEST_P(ViewportTest, SubBoxes) {
 
 // Test that by default the [0, 1] depth range is used.
 TEST_P(ViewportTest, DefaultViewportDepth) {
+    // TODO(crbug.com/dawn/667): Work around the fact that some platforms do not support reading
+    // depth.
+    DAWN_TEST_UNSUPPORTED_IF(HasToggleEnabled("disable_depth_read"));
+
     TestViewportDepth(0.0, 1.0, false);
 }
 
 // Test various viewport depth ranges
 TEST_P(ViewportTest, ViewportDepth) {
+    // TODO(crbug.com/dawn/667): Work around the fact that some platforms do not support reading
+    // depth.
+    DAWN_TEST_UNSUPPORTED_IF(HasToggleEnabled("disable_depth_read"));
+
     TestViewportDepth(0.0, 0.5);
     TestViewportDepth(0.5, 1.0);
 }