diff --git a/libkwineffects/kwingltexture.cpp b/libkwineffects/kwingltexture.cpp
index 87664ada20..7187c6c050 100644
--- a/libkwineffects/kwingltexture.cpp
+++ b/libkwineffects/kwingltexture.cpp
@@ -190,7 +190,7 @@ GLTexture::GLTexture(const QString& fileName)
 {
 }
 
-GLTexture::GLTexture(GLenum internalFormat, int width, int height, int levels)
+GLTexture::GLTexture(GLenum internalFormat, int width, int height, int levels, bool needsMutability)
      : d_ptr(new GLTexturePrivate())
 {
     Q_D(GLTexture);
@@ -209,7 +209,7 @@ GLTexture::GLTexture(GLenum internalFormat, int width, int height, int levels)
     bind();
 
     if (!GLPlatform::instance()->isGLES()) {
-        if (d->s_supportsTextureStorage) {
+        if (d->s_supportsTextureStorage && !needsMutability) {
             glTexStorage2D(d->m_target, levels, internalFormat, width, height);
             d->m_immutable = true;
         } else {
@@ -234,8 +234,8 @@ GLTexture::GLTexture(GLenum internalFormat, int width, int height, int levels)
     unbind();
 }
 
-GLTexture::GLTexture(GLenum internalFormat, const QSize &size, int levels)
-    : GLTexture(internalFormat, size.width(), size.height(), levels)
+GLTexture::GLTexture(GLenum internalFormat, const QSize &size, int levels, bool needsMutability)
+    : GLTexture(internalFormat, size.width(), size.height(), levels, needsMutability)
 {
 }
 
diff --git a/libkwineffects/kwingltexture.h b/libkwineffects/kwingltexture.h
index 4620362a6c..ccc390a517 100644
--- a/libkwineffects/kwingltexture.h
+++ b/libkwineffects/kwingltexture.h
@@ -57,8 +57,8 @@ public:
     explicit GLTexture(const QImage& image, GLenum target = GL_TEXTURE_2D);
     explicit GLTexture(const QPixmap& pixmap, GLenum target = GL_TEXTURE_2D);
     explicit GLTexture(const QString& fileName);
-    GLTexture(GLenum internalFormat, int width, int height, int levels = 1);
-    explicit GLTexture(GLenum internalFormat, const QSize &size, int levels = 1);
+    GLTexture(GLenum internalFormat, int width, int height, int levels = 1, bool needsMutability = false);
+    explicit GLTexture(GLenum internalFormat, const QSize &size, int levels = 1, bool needsMutability = false);
 
     /**
      * Create a GLTexture wrapper around an existing texture.