After posting the patch I noticed some statements are superfluous.

   The modified patch is attached.
diff --git a/gzip.c b/gzip.c
index cceb420..43cb9ea 100644
--- a/gzip.c
+++ b/gzip.c
@@ -1514,6 +1514,7 @@ local void do_list(ifd, method)
     int ifd;     /* input file descriptor */
     int method;  /* compression method */
 {
+    const off_t save_bytes_in = bytes_in;
     ulg crc;  /* original crc */
     static int first_time = 1;
     static char const *const methods[MAX_METHODS] = {
@@ -1564,11 +1565,14 @@ local void do_list(ifd, method)

     if (!RECORD_IO && method == DEFLATED && !last_member) {
         /* Get the crc and uncompressed size for gzip'ed (not zip'ed) files.
-         * If the lseek fails, we could use read() to get to the end, but
-         * --list is used to get quick results.
-         * Use "gunzip < foo.gz | wc -c" to get the uncompressed size if
-         * you are not concerned about speed.
          */
+        if (insize != INBUFSIZ) {
+            /* eof: no need to lseek */
+            /* assert( insize >= 8 ) */
+            bytes_in  = save_bytes_in;
+            crc       = LG(inbuf + insize - 8);
+            bytes_out = LG(inbuf + insize - 4);
+        } else {
         bytes_in = lseek(ifd, (off_t)(-8), SEEK_END);
         if (bytes_in != -1L) {
             uch buf[8];
@@ -1578,6 +1582,62 @@ local void do_list(ifd, method)
             }
             crc       = LG(buf);
             bytes_out = LG(buf+4);
+        } else {
+            /* assert(insize == INBUFSIZ) */
+            /* assert((INBUFSIZ % 2) == 0) */
+            bytes_in = save_bytes_in;
+            const int half_buf_size = INBUFSIZ / 2;
+            /* If present (possibly partially), the last 8 bytes can only
+             * be in the second half of the inbuf buffer,
+             * so the next block to read is the first half. */
+            ssize_t nread;
+            uch *buf;
+            size_t buf_to_read = half_buf_size;
+            int half_idx = 0;
+            errno = 0; /* reset lseek error */
+            while (1) {
+                nread = read_buffer(ifd, inbuf + half_idx * half_buf_size, buf_to_read);
+                if (nread == 0) {
+                    break;
+                }
+                if (nread < 0) {
+                    read_error();
+                }
+                bytes_in += nread;
+                buf_to_read -= nread;
+                if (buf_to_read == 0) {
+                    buf_to_read = half_buf_size;
+                    half_idx = 1 - half_idx;
+                }
+            }
+            insize = half_buf_size - buf_to_read;
+            if (insize >= 8) {
+                /* All 8 bytes fit in the current half buffer */
+                buf = inbuf + half_idx * half_buf_size + insize - 8;
+            } else if (insize == 0) {
+                /* All 8 bytes are in the other half buffer */
+                buf = inbuf + (1 - half_idx) * half_buf_size + half_buf_size - 8;
+            } else {
+                /* The 8 bytes are partially on the other half buffer */
+                if (half_idx == 1) {
+                    /* The 8 bytes are contiguous */
+                    buf = inbuf + half_buf_size + insize - 8;
+                } else {
+                    /* The end of the 8 bytes is at the beginning of the first half,
+                     * the start of the 8 bytes is at the end of the second half.
+                     * Let's move them both at the start of the first half. */
+                    const size_t start_size = 8 - insize;
+                    memmove(inbuf + start_size, inbuf, insize);
+                    memcpy(inbuf, inbuf + half_buf_size + half_buf_size - start_size, start_size);
+                    buf = inbuf;
+                }
+            }
+            crc       = LG(buf);
+            bytes_out = LG(buf+4);
+        }
         }
     }

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