diff --git a/gnu/packages/patches/gnutls-CVE-2021-20231.patch b/gnu/packages/patches/gnutls-CVE-2021-20231.patch
deleted file mode 100644
index 5186522eee..0000000000
--- a/gnu/packages/patches/gnutls-CVE-2021-20231.patch
+++ /dev/null
@@ -1,62 +0,0 @@
-From 15beb4b193b2714d88107e7dffca781798684e7e Mon Sep 17 00:00:00 2001
-From: Daiki Ueno <ueno@gnu.org>
-Date: Fri, 29 Jan 2021 14:06:05 +0100
-Subject: [PATCH 1/2] key_share: avoid use-after-free around realloc
-
-Signed-off-by: Daiki Ueno <ueno@gnu.org>
----
- lib/ext/key_share.c | 12 +++++-------
- 1 file changed, 5 insertions(+), 7 deletions(-)
-
-diff --git a/lib/ext/key_share.c b/lib/ext/key_share.c
-index ab8abf8fe..a8c4bb5cf 100644
---- a/lib/ext/key_share.c
-+++ b/lib/ext/key_share.c
-@@ -664,14 +664,14 @@ key_share_send_params(gnutls_session_t session,
- {
- 	unsigned i;
- 	int ret;
--	unsigned char *lengthp;
--	unsigned int cur_length;
- 	unsigned int generated = 0;
- 	const gnutls_group_entry_st *group;
- 	const version_entry_st *ver;
- 
- 	/* this extension is only being sent on client side */
- 	if (session->security_parameters.entity == GNUTLS_CLIENT) {
-+		unsigned int length_pos;
-+
- 		ver = _gnutls_version_max(session);
- 		if (unlikely(ver == NULL || ver->key_shares == 0))
- 			return 0;
-@@ -679,16 +679,13 @@ key_share_send_params(gnutls_session_t session,
- 		if (!have_creds_for_tls13(session))
- 			return 0;
- 
--		/* write the total length later */
--		lengthp = &extdata->data[extdata->length];
-+		length_pos = extdata->length;
- 
- 		ret =
- 		    _gnutls_buffer_append_prefix(extdata, 16, 0);
- 		if (ret < 0)
- 			return gnutls_assert_val(ret);
- 
--		cur_length = extdata->length;
--
- 		if (session->internals.hsk_flags & HSK_HRR_RECEIVED) { /* we know the group */
- 			group = get_group(session);
- 			if (unlikely(group == NULL))
-@@ -736,7 +733,8 @@ key_share_send_params(gnutls_session_t session,
- 		}
- 
- 		/* copy actual length */
--		_gnutls_write_uint16(extdata->length - cur_length, lengthp);
-+		_gnutls_write_uint16(extdata->length - length_pos - 2,
-+				     &extdata->data[length_pos]);
- 
- 	} else { /* server */
- 		ver = get_version(session);
--- 
-2.30.2
-
diff --git a/gnu/packages/patches/gnutls-CVE-2021-20232.patch b/gnu/packages/patches/gnutls-CVE-2021-20232.patch
deleted file mode 100644
index dc3a0be690..0000000000
--- a/gnu/packages/patches/gnutls-CVE-2021-20232.patch
+++ /dev/null
@@ -1,60 +0,0 @@
-From 75a937d97f4fefc6f9b08e3791f151445f551cb3 Mon Sep 17 00:00:00 2001
-From: Daiki Ueno <ueno@gnu.org>
-Date: Fri, 29 Jan 2021 14:06:23 +0100
-Subject: [PATCH 2/2] pre_shared_key: avoid use-after-free around realloc
-
-Signed-off-by: Daiki Ueno <ueno@gnu.org>
----
- lib/ext/pre_shared_key.c | 15 ++++++++++++---
- 1 file changed, 12 insertions(+), 3 deletions(-)
-
-diff --git a/lib/ext/pre_shared_key.c b/lib/ext/pre_shared_key.c
-index a042c6488..380bf39ed 100644
---- a/lib/ext/pre_shared_key.c
-+++ b/lib/ext/pre_shared_key.c
-@@ -267,7 +267,7 @@ client_send_params(gnutls_session_t session,
- 	size_t spos;
- 	gnutls_datum_t username = {NULL, 0};
- 	gnutls_datum_t user_key = {NULL, 0}, rkey = {NULL, 0};
--	gnutls_datum_t client_hello;
-+	unsigned client_hello_len;
- 	unsigned next_idx;
- 	const mac_entry_st *prf_res = NULL;
- 	const mac_entry_st *prf_psk = NULL;
-@@ -428,8 +428,7 @@ client_send_params(gnutls_session_t session,
- 	assert(extdata->length >= sizeof(mbuffer_st));
- 	assert(ext_offset >= (ssize_t)sizeof(mbuffer_st));
- 	ext_offset -= sizeof(mbuffer_st);
--	client_hello.data = extdata->data+sizeof(mbuffer_st);
--	client_hello.size = extdata->length-sizeof(mbuffer_st);
-+	client_hello_len = extdata->length-sizeof(mbuffer_st);
- 
- 	next_idx = 0;
- 
-@@ -440,6 +439,11 @@ client_send_params(gnutls_session_t session,
- 	}
- 
- 	if (prf_res && rkey.size > 0) {
-+		gnutls_datum_t client_hello;
-+
-+		client_hello.data = extdata->data+sizeof(mbuffer_st);
-+		client_hello.size = client_hello_len;
-+
- 		ret = compute_psk_binder(session, prf_res,
- 					 binders_len, binders_pos,
- 					 ext_offset, &rkey, &client_hello, 1,
-@@ -474,6 +478,11 @@ client_send_params(gnutls_session_t session,
- 	}
- 
- 	if (prf_psk && user_key.size > 0 && info) {
-+		gnutls_datum_t client_hello;
-+
-+		client_hello.data = extdata->data+sizeof(mbuffer_st);
-+		client_hello.size = client_hello_len;
-+
- 		ret = compute_psk_binder(session, prf_psk,
- 					 binders_len, binders_pos,
- 					 ext_offset, &user_key, &client_hello, 0,
--- 
-2.30.2
-
diff --git a/gnu/packages/tls.scm b/gnu/packages/tls.scm
index 174438ad87..ed8fc6532a 100644
--- a/gnu/packages/tls.scm
+++ b/gnu/packages/tls.scm
@@ -15,6 +15,7 @@
 ;;; Copyright © 2018 Clément Lassieur <clement@lassieur.org>
 ;;; Copyright © 2019 Mathieu Othacehe <m.othacehe@gmail.com>
 ;;; Copyright © 2020 Jan (janneke) Nieuwenhuizen <janneke@gnu.org>
+;;; Copyright © 2021 Solene Rapenne <solene@perso.pw>
 ;;;
 ;;; This file is part of GNU Guix.
 ;;;
@@ -164,7 +165,7 @@ living in the same process.")
 (define-public gnutls
   (package
     (name "gnutls")
-    (version "3.6.15")
+    (version "3.6.16")
     (source (origin
               (method url-fetch)
               ;; Note: Releases are no longer on ftp.gnu.org since the
@@ -173,12 +174,10 @@ living in the same process.")
                                   (version-major+minor version)
                                   "/gnutls-" version ".tar.xz"))
               (patches (search-patches "gnutls-skip-trust-store-test.patch"
-                                       "gnutls-cross.patch"
-                                       "gnutls-CVE-2021-20231.patch"
-                                       "gnutls-CVE-2021-20232.patch"))
+                                       "gnutls-cross.patch"))
               (sha256
                (base32
-                "0n0m93ymzd0q9hbknxc2ycanz49sqlkyyf73g9fk7n787llc7a0f"))))
+                "1czk511pslz367shf32f2jvvkp7y1323bcv88c2qng98mj0v6y8v"))))
     (build-system gnu-build-system)
     (arguments
      `(#:tests? ,(not (or (%current-target-system)
