diff --git a/gtk/gtkcairoblur.c b/gtk/gtkcairoblur.c
index 170f460bf2..8d67c8c04b 100644
--- a/gtk/gtkcairoblur.c
+++ b/gtk/gtkcairoblur.c
@@ -215,7 +215,9 @@ _gtk_cairo_blur_surface (cairo_surface_t* surface,
   g_return_if_fail (cairo_surface_get_type (surface) == CAIRO_SURFACE_TYPE_IMAGE);
   g_return_if_fail (cairo_image_surface_get_format (surface) == CAIRO_FORMAT_A8);
 
-  if (radius == 0)
+  /* The code doesn't actually do any blurring for radius 1, as it
+   * ends up with box filter size 1 */
+  if (radius <= 1)
     return;
 
   /* Before we mess with the surface, execute any pending drawing. */
diff --git a/gtk/gtkcssshadowvalue.c b/gtk/gtkcssshadowvalue.c
index ae94f0214a..0a307b31a8 100644
--- a/gtk/gtkcssshadowvalue.c
+++ b/gtk/gtkcssshadowvalue.c
@@ -297,7 +297,10 @@ static gboolean
 needs_blur (const GtkCssValue *shadow)
 {
   double radius = _gtk_css_number_value_get (shadow->radius, 0);
-  if (radius == 0.0)
+
+  /* The code doesn't actually do any blurring for radius 1, as it
+   * ends up with box filter size 1 */
+  if (radius <= 1.0)
     return FALSE;
 
   return TRUE;