diff --git a/ANNOUNCE b/ANNOUNCE
index c8c85efac..9bebd61f5 100644
--- a/ANNOUNCE
+++ b/ANNOUNCE
@@ -1,4 +1,4 @@
-Libpng 1.6.22beta06 - April 28, 2016
+Libpng 1.6.22beta06 - April 29, 2016
 
 This is not intended to be a public release.  It will be replaced
 within a few weeks by a public version or by another test version.
@@ -91,8 +91,9 @@ Version 1.6.22beta05 [April 27, 2016]
   Fixed typo (missing underscore) in #define PNG_READ_16_TO_8_SUPPORTED
     (Bug report by Y.Ohashik).
 
-Version 1.6.22beta06 [April 28, 2016]
+Version 1.6.22beta06 [April 29, 2016]
   Rebased contrib/intel_sse.patch.
+  Quieted two Coverity issues in contrib/libtests/timepng.c.
 
 Send comments/corrections/commendations to png-mng-implement at lists.sf.net
 (subscription required; visit
diff --git a/CHANGES b/CHANGES
index 11ec882e8..5b6590a7a 100644
--- a/CHANGES
+++ b/CHANGES
@@ -5551,8 +5551,9 @@ Version 1.6.22beta05 [April 27, 2016]
   Fixed typo (missing underscore) in #define PNG_READ_16_TO_8_SUPPORTED
     (Bug report by Y.Ohashik).
 
-Version 1.6.22beta06 [April 28, 2016]
+Version 1.6.22beta06 [April 29, 2016]
   Rebased contrib/intel_sse.patch.
+  Quieted two Coverity issues in contrib/libtests/timepng.c.
 
 Send comments/corrections/commendations to png-mng-implement at lists.sf.net
 (subscription required; visit
diff --git a/contrib/libtests/timepng.c b/contrib/libtests/timepng.c
index 6b7253d78..d648ff630 100644
--- a/contrib/libtests/timepng.c
+++ b/contrib/libtests/timepng.c
@@ -394,6 +394,12 @@ int main(int argc, char **argv)
                argv[3]);
          exit(99);
       }
+#ifdef __COVERITY__
+      else
+      {
+         nfiles &= 0x7fffffff;
+      }
+#endif
 
       argv += 3;
       argc -= 3;
@@ -401,7 +407,39 @@ int main(int argc, char **argv)
 
    else /* Else use a temporary file */
    {
+#ifndef __COVERITY__
       fp = tmpfile();
+#else
+      /* Experimental. Coverity says tmpfile() is insecure because it
+       * generates predictable names.
+       *
+       * It is possible to satisfy Coverity by using mkstemp(); however,
+       * any platform supporting mkstemp() undoubtedly has a secure tmpfile()
+       * implementation as well, and doesn't need the fix.  Note that
+       * the fix won't work on platforms that don't support mkstemp().
+       *
+       * https://www.securecoding.cert.org/confluence/display/c/
+       * FIO21-C.+Do+not+create+temporary+files+in+shared+directories
+       * says that most historic implementations of tmpfile() provide
+       * only a limited number of possible temporary file names
+       * (usually 26) before file names are recycled. That article also
+       * provides a secure solution that unfortunately depends upon mkstemp().
+       */
+      char tmpfile[] = "timepng-XXXXXX";
+      int filedes;
+      umask(0177);
+      filedes = mkstemp(tmpfile);
+      if (filedes < 0)
+        fp = NULL;
+      else
+      {
+        fp = fdopen(filedes,"w+");
+        /* Hide the filename immediately and ensure that the file does
+         * not exist after the program ends
+         */
+        (void) unlink(tmpfile);
+      }
+#endif
 
       if (fp == NULL)
       {