diff --git a/src/Magnum/Text/DistanceFieldGlyphCache.cpp b/src/Magnum/Text/DistanceFieldGlyphCache.cpp
index fcc902ed4..c79b3a7d2 100644
--- a/src/Magnum/Text/DistanceFieldGlyphCache.cpp
+++ b/src/Magnum/Text/DistanceFieldGlyphCache.cpp
@@ -55,6 +55,13 @@ DistanceFieldGlyphCache::DistanceFieldGlyphCache(const Vector2i& sourceSize, con
     MAGNUM_ASSERT_GL_EXTENSION_SUPPORTED(GL::Extensions::ARB::texture_rg);
     #endif
 
+    /* Replicating the assertion from TextureTools::DistanceField so it gets
+       checked during construction already instead of only later during the
+       setImage() call */
+    CORRADE_ASSERT(sourceSize % size == Vector2i{0} &&
+                   (sourceSize/size) % 2 == Vector2i{0},
+        "Text::DistanceFieldGlyphCache: expected source and destination size ratio to be a multiple of 2, got" << Debug::packed << sourceSize << "and" << Debug::packed << size, );
+
     #if defined(MAGNUM_TARGET_GLES2) && !defined(MAGNUM_TARGET_WEBGL)
     /* Luminance is not renderable in most cases */
     if(!GL::Context::current().isExtensionSupported<GL::Extensions::EXT::texture_rg>())
diff --git a/src/Magnum/Text/DistanceFieldGlyphCache.h b/src/Magnum/Text/DistanceFieldGlyphCache.h
index 198c132f1..5ca97c59c 100644
--- a/src/Magnum/Text/DistanceFieldGlyphCache.h
+++ b/src/Magnum/Text/DistanceFieldGlyphCache.h
@@ -83,11 +83,15 @@ class MAGNUM_TEXT_EXPORT DistanceFieldGlyphCache: public GlyphCache {
          * @param radius            Distance field computation radius
          *
          * See @ref TextureTools::DistanceField for more information about the
-         * parameters. Sets the internal texture format to single-channel.
-         * On OpenGL ES 3.0+ and WebGL 2 uses @ref GL::TextureFormat::R8. On
-         * desktop OpenGL requires @gl_extension{ARB,texture_rg} (part of
-         * OpenGL 3.0), on ES2 uses @gl_extension{EXT,texture_rg} if available
-         * or @ref GL::TextureFormat::RGB as fallback, on WebGL 1 uses
+         * parameters. Size restrictions from it apply here as well, in
+         * particular the ratio of @p sourceSize and @p size is expected to be
+         * a multiple of 2.
+         *
+         * Sets the internal texture format to single-channel. On OpenGL ES
+         * 3.0+ and WebGL 2 uses @ref GL::TextureFormat::R8. On desktop OpenGL
+         * requires @gl_extension{ARB,texture_rg} (part of OpenGL 3.0), on ES2
+         * uses @gl_extension{EXT,texture_rg} if available or
+         * @ref GL::TextureFormat::RGB as fallback, on WebGL 1 uses
          * @ref GL::TextureFormat::RGB always.
          */
         explicit DistanceFieldGlyphCache(const Vector2i& sourceSize, const Vector2i& size, UnsignedInt radius);
diff --git a/src/Magnum/Text/Test/DistanceFieldGlyphCacheGLTest.cpp b/src/Magnum/Text/Test/DistanceFieldGlyphCacheGLTest.cpp
index 8401a145a..1f496fd25 100644
--- a/src/Magnum/Text/Test/DistanceFieldGlyphCacheGLTest.cpp
+++ b/src/Magnum/Text/Test/DistanceFieldGlyphCacheGLTest.cpp
@@ -55,6 +55,7 @@ struct DistanceFieldGlyphCacheGLTest: GL::OpenGLTester {
     explicit DistanceFieldGlyphCacheGLTest();
 
     void construct();
+    void constructSizeRatioNotMultipleOfTwo();
 
     void constructCopy();
     void constructMove();
@@ -93,6 +94,7 @@ const struct {
 
 DistanceFieldGlyphCacheGLTest::DistanceFieldGlyphCacheGLTest() {
     addTests({&DistanceFieldGlyphCacheGLTest::construct,
+              &DistanceFieldGlyphCacheGLTest::constructSizeRatioNotMultipleOfTwo,
 
               &DistanceFieldGlyphCacheGLTest::constructCopy,
               &DistanceFieldGlyphCacheGLTest::constructMove});
@@ -124,6 +126,30 @@ void DistanceFieldGlyphCacheGLTest::construct() {
     #endif
 }
 
+void DistanceFieldGlyphCacheGLTest::constructSizeRatioNotMultipleOfTwo() {
+    CORRADE_SKIP_IF_NO_ASSERT();
+
+    /* This should be fine */
+    DistanceFieldGlyphCache{Vector2i{23*14}, Vector2i{23}, 4};
+
+    /* It's the same assert as in TextureTools::DistanceField */
+    std::ostringstream out;
+    Error redirectError{&out};
+    DistanceFieldGlyphCache{Vector2i{23*14}, Vector2i{23*2}, 4};
+    /* Verify also just one axis wrong */
+    DistanceFieldGlyphCache{Vector2i{23*14}, {23*2, 23}, 4};
+    DistanceFieldGlyphCache{Vector2i{23*14}, {23, 23*2}, 4};
+    /* Almost correct except that it's not an integer multiply */
+    DistanceFieldGlyphCache{Vector2i{23*14}, {22, 23}, 4};
+    DistanceFieldGlyphCache{Vector2i{23*14}, {23, 22}, 4};
+    CORRADE_COMPARE(out.str(),
+        "Text::DistanceFieldGlyphCache: expected source and destination size ratio to be a multiple of 2, got {322, 322} and {46, 46}\n"
+        "Text::DistanceFieldGlyphCache: expected source and destination size ratio to be a multiple of 2, got {322, 322} and {46, 23}\n"
+        "Text::DistanceFieldGlyphCache: expected source and destination size ratio to be a multiple of 2, got {322, 322} and {23, 46}\n"
+        "Text::DistanceFieldGlyphCache: expected source and destination size ratio to be a multiple of 2, got {322, 322} and {22, 23}\n"
+        "Text::DistanceFieldGlyphCache: expected source and destination size ratio to be a multiple of 2, got {322, 322} and {23, 22}\n");
+}
+
 void DistanceFieldGlyphCacheGLTest::constructCopy() {
     CORRADE_VERIFY(!std::is_copy_constructible<DistanceFieldGlyphCache>{});
     CORRADE_VERIFY(!std::is_copy_assignable<DistanceFieldGlyphCache>{});
@@ -135,7 +161,7 @@ void DistanceFieldGlyphCacheGLTest::constructMove() {
     DistanceFieldGlyphCache b = Utility::move(a);
     CORRADE_COMPARE(b.size(), (Vector3i{1024, 512, 1}));
 
-    DistanceFieldGlyphCache c{{2, 3}, {1, 1}, 1};
+    DistanceFieldGlyphCache c{{2, 4}, {1, 2}, 1};
     c = Utility::move(b);
     CORRADE_COMPARE(c.size(), (Vector3i{1024, 512, 1}));
 
@@ -276,7 +302,7 @@ void DistanceFieldGlyphCacheGLTest::setDistanceFieldImage() {
 void DistanceFieldGlyphCacheGLTest::setDistanceFieldImageOutOfRange() {
     CORRADE_SKIP_IF_NO_ASSERT();
 
-    DistanceFieldGlyphCache cache{{200, 300}, {100, 200}, 4};
+    DistanceFieldGlyphCache cache{{200, 400}, {100, 200}, 4};
 
     /* This is fine. Not testing on ES2 as there it would need the complicated
        format logic from above. */