diff --git a/libImaging/Convert.c b/libImaging/Convert.c
index 5aad3733c..99d5ae10d 100644
--- a/libImaging/Convert.c
+++ b/libImaging/Convert.c
@@ -140,11 +140,11 @@ la2lA(UINT8* out, const UINT8* in, int xsize)
     unsigned int alpha, pixel;
     for (x = 0; x < xsize; x++, in+=4) {
         alpha = in[3];
-        if (alpha) {
-            pixel = CLIP((255 * in[0]) / alpha);
-        } else {
+        if (alpha == 255 || alpha == 0) {
             pixel = in[0];
-        }
+        } else {
+            pixel = CLIP((255 * in[0]) / alpha);
+        }        
         *out++ = (UINT8) pixel;
         *out++ = (UINT8) pixel;
         *out++ = (UINT8) pixel;