diff --git a/render/animcur.c b/render/animcur.c
index f906cd813..93ccd828f 100644
--- a/render/animcur.c
+++ b/render/animcur.c
@@ -60,7 +60,6 @@ typedef struct _AnimCur {
 } AnimCurRec, *AnimCurPtr;
 
 typedef struct _AnimScrPriv {
-    CloseScreenProcPtr CloseScreen;
     CursorLimitsProcPtr CursorLimits;
     DisplayCursorProcPtr DisplayCursor;
     SetCursorPositionProcPtr SetCursorPosition;
@@ -84,13 +83,11 @@ static DevPrivateKeyRec AnimCurScreenPrivateKeyRec;
 #define Wrap(as,s,elt,func) (((as)->elt = (s)->elt), (s)->elt = func)
 #define Unwrap(as,s,elt)    ((s)->elt = (as)->elt)
 
-static Bool
-AnimCurCloseScreen(ScreenPtr pScreen)
+static void AnimCurScreenClose(ScreenPtr pScreen, void *arg)
 {
     AnimCurScreenPtr as = GetAnimCurScreen(pScreen);
-    Bool ret;
 
-    Unwrap(as, pScreen, CloseScreen);
+    dixScreenUnhookClose(pScreen, AnimCurScreenClose, NULL);
 
     Unwrap(as, pScreen, CursorLimits);
     Unwrap(as, pScreen, DisplayCursor);
@@ -98,8 +95,6 @@ AnimCurCloseScreen(ScreenPtr pScreen)
     Unwrap(as, pScreen, RealizeCursor);
     Unwrap(as, pScreen, UnrealizeCursor);
     Unwrap(as, pScreen, RecolorCursor);
-    ret = (*pScreen->CloseScreen) (pScreen);
-    return ret;
 }
 
 static void
@@ -286,7 +281,7 @@ AnimCurInit(ScreenPtr pScreen)
 
     as = GetAnimCurScreen(pScreen);
 
-    Wrap(as, pScreen, CloseScreen, AnimCurCloseScreen);
+    dixScreenHookClose(pScreen, AnimCurScreenClose, NULL);
 
     Wrap(as, pScreen, CursorLimits, AnimCurCursorLimits);
     Wrap(as, pScreen, DisplayCursor, AnimCurDisplayCursor);
diff --git a/render/picture.c b/render/picture.c
index 6fcdeae1e..972d2d278 100644
--- a/render/picture.c
+++ b/render/picture.c
@@ -76,15 +76,11 @@ picture_window_destructor(ScreenPtr pScreen, WindowPtr pWindow, void *arg)
     }
 }
 
-static Bool
-PictureCloseScreen(ScreenPtr pScreen)
+static void PictureScreenClose(ScreenPtr pScreen, void *arg)
 {
     PictureScreenPtr ps = GetPictureScreen(pScreen);
-    Bool ret;
     int n;
 
-    pScreen->CloseScreen = ps->CloseScreen;
-    ret = (*pScreen->CloseScreen) (pScreen);
     PictureResetFilters(pScreen);
     for (n = 0; n < ps->nformats; n++)
         if (ps->formats[n].type == PictTypeIndexed)
@@ -93,7 +89,6 @@ PictureCloseScreen(ScreenPtr pScreen)
     SetPictureScreen(pScreen, 0);
     free(ps->formats);
     free(ps);
-    return ret;
 }
 
 static void
@@ -684,12 +679,11 @@ PictureInit(ScreenPtr pScreen, PictFormatPtr formats, int nformats)
 
     ps->subpixel = SubPixelUnknown;
 
-    ps->CloseScreen = pScreen->CloseScreen;
     ps->StoreColors = pScreen->StoreColors;
-    pScreen->CloseScreen = PictureCloseScreen;
     pScreen->StoreColors = PictureStoreColors;
 
     dixScreenHookWindowDestroy(pScreen, picture_window_destructor, NULL);
+    dixScreenHookClose(pScreen, PictureScreenClose, NULL);
 
     if (!PictureSetDefaultFilters(pScreen)) {
         PictureResetFilters(pScreen);
diff --git a/render/picturestr.h b/render/picturestr.h
index 65dcbc9fc..2307fc26c 100644
--- a/render/picturestr.h
+++ b/render/picturestr.h
@@ -294,8 +294,6 @@ typedef struct _PictureScreen {
     GlyphsProcPtr Glyphs;       /* unused */
     CompositeRectsProcPtr CompositeRects;
 
-    CloseScreenProcPtr CloseScreen;
-
     StoreColorsProcPtr StoreColors;
 
     InitIndexedProcPtr InitIndexed;