diff --git a/admin/coccinelle/nilp.cocci b/admin/coccinelle/nilp.cocci
new file mode 100644
index 00000000000..ccebbbe1c80
--- /dev/null
+++ b/admin/coccinelle/nilp.cocci
@@ -0,0 +1,6 @@
+// Prefer NILP (x) to EQ (x, Qnil)
+@@
+expression X;
+@@
+- EQ (X, Qnil)
++ NILP (X)
diff --git a/src/image.c b/src/image.c
index f09552c4017..dea2730832b 100644
--- a/src/image.c
+++ b/src/image.c
@@ -3561,7 +3561,7 @@ anim_prune_animation_cache (Lisp_Object clear)
     {
       struct anim_cache *cache = *pcache;
       if (EQ (clear, Qt)
-	  || (EQ (clear, Qnil) && timespec_cmp (old, cache->update_time) > 0)
+	  || (NILP (clear) && timespec_cmp (old, cache->update_time) > 0)
 	  || EQ (clear, cache->spec))
 	{
 	  if (cache->handle)