diff --git a/src/Magnum/Framebuffer.cpp b/src/Magnum/Framebuffer.cpp
index 840e1ad62..fefb79bfa 100644
--- a/src/Magnum/Framebuffer.cpp
+++ b/src/Magnum/Framebuffer.cpp
@@ -36,12 +36,12 @@
 
 #ifndef MAGNUM_TARGET_GLES2
 #include "Magnum/BufferImage.h"
+#include "Magnum/MultisampleTexture.h"
 #include "Magnum/TextureArray.h"
 #endif
 
 #ifndef MAGNUM_TARGET_GLES
 #include "Magnum/CubeMapTextureArray.h"
-#include "Magnum/MultisampleTexture.h"
 #include "Magnum/RectangleTexture.h"
 #endif
 
@@ -190,7 +190,9 @@ Framebuffer& Framebuffer::attachTexture(const BufferAttachment attachment, Recta
     (this->*Context::current()->state().framebuffer->texture2DImplementation)(attachment, GL_TEXTURE_RECTANGLE, texture.id(), 0);
     return *this;
 }
+#endif
 
+#ifndef MAGNUM_TARGET_GLES2
 Framebuffer& Framebuffer::attachTexture(const BufferAttachment attachment, MultisampleTexture2D& texture) {
     (this->*Context::current()->state().framebuffer->texture2DImplementation)(attachment, GL_TEXTURE_2D_MULTISAMPLE, texture.id(), 0);
     return *this;
diff --git a/src/Magnum/Framebuffer.h b/src/Magnum/Framebuffer.h
index eceb3e023..e5d7b76da 100644
--- a/src/Magnum/Framebuffer.h
+++ b/src/Magnum/Framebuffer.h
@@ -523,10 +523,13 @@ class MAGNUM_EXPORT Framebuffer: public AbstractFramebuffer, public AbstractObje
          * @requires_gl Rectangle textures are not available in OpenGL ES.
          */
         Framebuffer& attachTexture(BufferAttachment attachment, RectangleTexture& texture);
+        #endif
 
+        #ifndef MAGNUM_TARGET_GLES2
         /** @overload
          * @requires_gl32 %Extension @extension{ARB,texture_multisample}
-         * @requires_gl Multisample textures are not available in OpenGL ES.
+         * @requires_gles31 Multisample textures are not available in OpenGL ES
+         *      3.0 and older.
          */
         Framebuffer& attachTexture(BufferAttachment attachment, MultisampleTexture2D& texture);
         #endif
@@ -592,7 +595,7 @@ class MAGNUM_EXPORT Framebuffer: public AbstractFramebuffer, public AbstractObje
 
         /** @overload
          * @requires_gl32 %Extension @extension{ARB,texture_multisample}
-         * @requires_gl Multisample textures are not available in OpenGL ES.
+         * @requires_gl Multisample array textures are not available in OpenGL ES.
          */
         Framebuffer& attachTextureLayer(BufferAttachment attachment, MultisampleTexture2DArray& texture, Int layer);
         #endif
diff --git a/src/Magnum/Test/FramebufferGLTest.cpp b/src/Magnum/Test/FramebufferGLTest.cpp
index f7477f5f2..e4c897ae1 100644
--- a/src/Magnum/Test/FramebufferGLTest.cpp
+++ b/src/Magnum/Test/FramebufferGLTest.cpp
@@ -38,12 +38,12 @@
 
 #ifndef MAGNUM_TARGET_GLES2
 #include "Magnum/BufferImage.h"
+#include "Magnum/MultisampleTexture.h"
 #include "Magnum/TextureArray.h"
 #endif
 
 #ifndef MAGNUM_TARGET_GLES
 #include "Magnum/CubeMapTextureArray.h"
-#include "Magnum/MultisampleTexture.h"
 #include "Magnum/RectangleTexture.h"
 #endif
 
@@ -72,9 +72,9 @@ class FramebufferGLTest: public AbstractOpenGLTester {
         #endif
         #ifndef MAGNUM_TARGET_GLES2
         void attachTexture2DArray();
+        void attachTexture2DMultisample();
         #endif
         #ifndef MAGNUM_TARGET_GLES
-        void attachTexture2DMultisample();
         void attachTexture2DMultisampleArray();
         void attachRectangleTexture();
         #endif
@@ -120,9 +120,9 @@ FramebufferGLTest::FramebufferGLTest() {
               #endif
               #ifndef MAGNUM_TARGET_GLES2
               &FramebufferGLTest::attachTexture2DArray,
+              &FramebufferGLTest::attachTexture2DMultisample,
               #endif
               #ifndef MAGNUM_TARGET_GLES
-              &FramebufferGLTest::attachTexture2DMultisample,
               &FramebufferGLTest::attachTexture2DMultisampleArray,
               &FramebufferGLTest::attachRectangleTexture,
               #endif
@@ -465,12 +465,17 @@ void FramebufferGLTest::attachTexture2DArray() {
 }
 #endif
 
-#ifndef MAGNUM_TARGET_GLES
+#ifndef MAGNUM_TARGET_GLES2
 void FramebufferGLTest::attachTexture2DMultisample() {
+    #ifndef MAGNUM_TARGET_GLES
     if(!Context::current()->isExtensionSupported<Extensions::GL::ARB::framebuffer_object>())
         CORRADE_SKIP(Extensions::GL::ARB::framebuffer_object::string() + std::string(" is not available."));
     if(!Context::current()->isExtensionSupported<Extensions::GL::ARB::texture_multisample>())
         CORRADE_SKIP(Extensions::GL::ARB::texture_multisample::string() + std::string(" is not available."));
+    #else
+    if(!Context::current()->isVersionSupported(Version::GLES310))
+        CORRADE_SKIP("OpenGL ES 3.1 is not supported.");
+    #endif
 
     MultisampleTexture2D color;
     color.setStorage(4, TextureFormat::RGBA8, {128, 128});
@@ -485,7 +490,9 @@ void FramebufferGLTest::attachTexture2DMultisample() {
     MAGNUM_VERIFY_NO_ERROR();
     CORRADE_COMPARE(framebuffer.checkStatus(FramebufferTarget::ReadDraw), Framebuffer::Status::Complete);
 }
+#endif
 
+#ifndef MAGNUM_TARGET_GLES
 void FramebufferGLTest::attachTexture2DMultisampleArray() {
     if(!Context::current()->isExtensionSupported<Extensions::GL::ARB::framebuffer_object>())
         CORRADE_SKIP(Extensions::GL::ARB::framebuffer_object::string() + std::string(" is not available."));