diff --git a/gzread.c b/gzread.c
index 8fc2915..213ad8c 100644
--- a/gzread.c
+++ b/gzread.c
@@ -207,6 +207,15 @@ local int gz_head(state)
         }
     }
 
+    /* no gzip header -- if we were decoding gzip before, then this is trailing
+       garbage.  Ignore the trailing garbage and finish. */
+    if (state->direct == 0) {
+        strm->avail_in = 0;
+        state->eof = 1;
+        state->have = 0;
+        return 0;
+    }
+
     /* doing raw i/o, save start of raw data for seeking, copy any leftover
        input to output -- this assumes that the output buffer is larger than
        the input buffer, which also assures space for gzungetc() */
diff --git a/zlib.h b/zlib.h
index 8c722a6..4c505b9 100644
--- a/zlib.h
+++ b/zlib.h
@@ -1259,14 +1259,14 @@ ZEXTERN int ZEXPORT gzsetparams OF((gzFile file, int level, int strategy));
 ZEXTERN int ZEXPORT gzread OF((gzFile file, voidp buf, unsigned len));
 /*
      Reads the given number of uncompressed bytes from the compressed file.  If
-   the input file was not in gzip format, gzread copies the given number of
-   bytes into the buffer.
+   the input file is not in gzip format, gzread copies the given number of
+   bytes into the buffer directly from the file.
 
      After reaching the end of a gzip stream in the input, gzread will continue
-   to read, looking for another gzip stream, or failing that, reading the rest
-   of the input file directly without decompression.  The entire input file
-   will be read if gzread is called until it returns less than the requested
-   len.
+   to read, looking for another gzip stream.  Any number of gzip streams may be
+   concatenated in the input file, and will all be decompressed by gzread().
+   If something other than a gzip stream is encountered after a gzip stream,
+   that remaining trailing garbage is ignored (and no error is returned).
 
      gzread returns the number of uncompressed bytes actually read, less than
    len for end of file, or -1 for error.