diff --git a/inflate.c b/inflate.c
index 575fcdf..2c1b17f 100644
--- a/inflate.c
+++ b/inflate.c
@@ -130,6 +130,7 @@ z_streamp strm;
     state->mode = HEAD;
     state->last = 0;
     state->havedict = 0;
+    state->flags = -1;
     state->dmax = 32768U;
     state->head = Z_NULL;
     state->hold = 0;
@@ -670,7 +671,6 @@ int flush;
                 state->mode = FLAGS;
                 break;
             }
-            state->flags = 0;           /* expect zlib header */
             if (state->head != Z_NULL)
                 state->head->done = -1;
             if (!(state->wrap & 1) ||   /* check if zlib header allowed */
@@ -697,6 +697,7 @@ int flush;
                 break;
             }
             state->dmax = 1U << len;
+            state->flags = 0;               /* indicate zlib header */
             Tracev((stderr, "inflate:   zlib header ok\n"));
             strm->adler = state->check = adler32(0L, Z_NULL, 0);
             state->mode = hold & 0x200 ? DICTID : TYPE;
@@ -1221,7 +1222,7 @@ int flush;
         case LENGTH:
             if (state->wrap && state->flags) {
                 NEEDBITS(32);
-                if (hold != (state->total & 0xffffffffUL)) {
+                if ((state->wrap & 4) && hold != (state->total & 0xffffffff)) {
                     strm->msg = (char *)"incorrect length check";
                     state->mode = BAD;
                     break;
@@ -1401,6 +1402,7 @@ int ZEXPORT inflateSync(strm)
 z_streamp strm;
 {
     unsigned len;               /* number of bytes to look at or looked at */
+    int flags;                  /* temporary to save header status */
     unsigned long in, out;      /* temporary to save total_in and total_out */
     unsigned char buf[4];       /* to restore bit buffer to byte string */
     struct inflate_state FAR *state;
@@ -1433,11 +1435,15 @@ z_streamp strm;
 
     /* return no joy or set up to restart inflate() on a new block */
     if (state->have != 4) return Z_DATA_ERROR;
-    if (state->mode == HEAD)
-        state->wrap = 0;    /* never processed header, so assume raw */
+    if (state->flags == -1)
+        state->wrap = 0;    /* if no header yet, treat as raw */
+    else
+        state->wrap &= ~4;  /* no point in computing a check value now */
+    flags = state->flags;
     in = strm->total_in;  out = strm->total_out;
     inflateReset(strm);
     strm->total_in = in;  strm->total_out = out;
+    state->flags = flags;
     state->mode = TYPE;
     return Z_OK;
 }
diff --git a/inflate.h b/inflate.h
index a46cce6..98679fa 100644
--- a/inflate.h
+++ b/inflate.h
@@ -86,7 +86,8 @@ struct inflate_state {
     int wrap;                   /* bit 0 true for zlib, bit 1 true for gzip,
                                    bit 2 true to validate check value */
     int havedict;               /* true if dictionary provided */
-    int flags;                  /* gzip header method and flags (0 if zlib) */
+    int flags;                  /* gzip header method and flags, 0 if zlib, or
+                                   -1 if raw or no header yet */
     unsigned dmax;              /* zlib header max distance (INFLATE_STRICT) */
     unsigned long check;        /* protected copy of check value */
     unsigned long total;        /* protected copy of output count */
diff --git a/test/example.c b/test/example.c
index eee17ce..949f4f6 100644
--- a/test/example.c
+++ b/test/example.c
@@ -440,9 +440,8 @@ void test_sync(compr, comprLen, uncompr, uncomprLen)
     CHECK_ERR(err, "inflateSync");
 
     err = inflate(&d_stream, Z_FINISH);
-    if (err != Z_DATA_ERROR) {
-        fprintf(stderr, "inflate should report DATA_ERROR\n");
-        /* Because of incorrect adler32 */
+    if (err != Z_STREAM_END) {
+        fprintf(stderr, "inflate should report Z_STREAM_END\n");
         exit(1);
     }
     err = inflateEnd(&d_stream);