diff --git a/block/curl.c b/block/curl.c
index 2c07a694d8..606709fea4 100644
--- a/block/curl.c
+++ b/block/curl.c
@@ -950,6 +950,23 @@ static int64_t curl_getlength(BlockDriverState *bs)
     return s->len;
 }
 
+static void curl_refresh_filename(BlockDriverState *bs)
+{
+    BDRVCURLState *s = bs->opaque;
+
+    /* "readahead" and "timeout" do not change the guest-visible data,
+     * so ignore them */
+    if (s->sslverify != CURL_BLOCK_OPT_SSLVERIFY_DEFAULT ||
+        s->cookie || s->username || s->password || s->proxyusername ||
+        s->proxypassword)
+    {
+        return;
+    }
+
+    pstrcpy(bs->exact_filename, sizeof(bs->exact_filename), s->url);
+}
+
+
 static const char *const curl_strong_runtime_opts[] = {
     CURL_BLOCK_OPT_URL,
     CURL_BLOCK_OPT_SSLVERIFY,
@@ -978,6 +995,7 @@ static BlockDriver bdrv_http = {
     .bdrv_detach_aio_context    = curl_detach_aio_context,
     .bdrv_attach_aio_context    = curl_attach_aio_context,
 
+    .bdrv_refresh_filename      = curl_refresh_filename,
     .strong_runtime_opts        = curl_strong_runtime_opts,
 };
 
@@ -996,6 +1014,7 @@ static BlockDriver bdrv_https = {
     .bdrv_detach_aio_context    = curl_detach_aio_context,
     .bdrv_attach_aio_context    = curl_attach_aio_context,
 
+    .bdrv_refresh_filename      = curl_refresh_filename,
     .strong_runtime_opts        = curl_strong_runtime_opts,
 };
 
@@ -1014,6 +1033,7 @@ static BlockDriver bdrv_ftp = {
     .bdrv_detach_aio_context    = curl_detach_aio_context,
     .bdrv_attach_aio_context    = curl_attach_aio_context,
 
+    .bdrv_refresh_filename      = curl_refresh_filename,
     .strong_runtime_opts        = curl_strong_runtime_opts,
 };
 
@@ -1032,6 +1052,7 @@ static BlockDriver bdrv_ftps = {
     .bdrv_detach_aio_context    = curl_detach_aio_context,
     .bdrv_attach_aio_context    = curl_attach_aio_context,
 
+    .bdrv_refresh_filename      = curl_refresh_filename,
     .strong_runtime_opts        = curl_strong_runtime_opts,
 };