diff --git a/doc/api/deprecations.md b/doc/api/deprecations.md
index 3e880a0cc68218..01e6afeeb261cd 100644
--- a/doc/api/deprecations.md
+++ b/doc/api/deprecations.md
@@ -1628,17 +1628,20 @@ the `REPLServer` itself. Do not use this function.
 ### DEP0083: Disabling ECDH by setting ecdhCurve to false
 <!-- YAML
 changes:
+  - version: v10.0.0
+    pr-url: https://github.com/nodejs/node/pull/19794
+    description: End-of-Life.
   - version: v9.2.0
     pr-url: https://github.com/nodejs/node/pull/16130
     description: Runtime deprecation.
 -->
 
-Type: Runtime
+Type: End-of-Life.
 
 The `ecdhCurve` option to `tls.createSecureContext()` and `tls.TLSSocket` could
-be set to `false` to disable ECDH entirely on the server only. This mode is
+be set to `false` to disable ECDH entirely on the server only. This mode was
 deprecated in preparation for migrating to OpenSSL 1.1.0 and consistency with
-the client. Use the `ciphers` parameter instead.
+the client and is now unsupported. Use the `ciphers` parameter instead.
 
 <a id="DEP0084"></a>
 ### DEP0084: requiring bundled internal dependencies
diff --git a/doc/api/tls.md b/doc/api/tls.md
index 417449c097385a..05f584ab7127d8 100644
--- a/doc/api/tls.md
+++ b/doc/api/tls.md
@@ -1007,6 +1007,10 @@ argument.
 <!-- YAML
 added: v0.11.13
 changes:
+  - version: v10.0.0
+    pr-url: https://github.com/nodejs/node/pull/19794
+    description: The `ecdhCurve` cannot be set to `false` anymore due to a
+                 change in OpenSSL.
   - version: v9.3.0
     pr-url: https://github.com/nodejs/node/pull/14903
     description: The `options` parameter can now include `clientCertEngine`.
@@ -1060,7 +1064,7 @@ changes:
     discarded and DHE ciphers will not be available.
   * `ecdhCurve` {string} A string describing a named curve or a colon separated
     list of curve NIDs or names, for example `P-521:P-384:P-256`, to use for
-    ECDH key agreement, or `false` to disable ECDH. Set to `auto` to select the
+    ECDH key agreement. Set to `auto` to select the
     curve automatically. Use [`crypto.getCurves()`][] to obtain a list of
     available curve names. On recent releases, `openssl ecparam -list_curves`
     will also display the name and description of each available elliptic curve.
diff --git a/lib/_tls_common.js b/lib/_tls_common.js
index de96fa687dcc02..60995278a37857 100644
--- a/lib/_tls_common.js
+++ b/lib/_tls_common.js
@@ -69,16 +69,6 @@ function validateKeyCert(name, value) {
 exports.SecureContext = SecureContext;
 
 
-function ecdhCurveWarning() {
-  if (ecdhCurveWarning.emitted) return;
-  process.emitWarning('{ ecdhCurve: false } is deprecated.',
-                      'DeprecationWarning',
-                      'DEP0083');
-  ecdhCurveWarning.emitted = true;
-}
-ecdhCurveWarning.emitted = false;
-
-
 exports.createSecureContext = function createSecureContext(options, context) {
   if (!options) options = {};
 
@@ -154,8 +144,6 @@ exports.createSecureContext = function createSecureContext(options, context) {
     c.context.setECDHCurve(tls.DEFAULT_ECDH_CURVE);
   else if (options.ecdhCurve)
     c.context.setECDHCurve(options.ecdhCurve);
-  else
-    ecdhCurveWarning();
 
   if (options.dhparam) {
     const warning = c.context.setDHParam(options.dhparam);
diff --git a/test/parallel/test-tls-ecdh-disable.js b/test/parallel/test-tls-ecdh-disable.js
deleted file mode 100644
index f06063200c5f36..00000000000000
--- a/test/parallel/test-tls-ecdh-disable.js
+++ /dev/null
@@ -1,66 +0,0 @@
-// Copyright Joyent, Inc. and other Node contributors.
-//
-// Permission is hereby granted, free of charge, to any person obtaining a
-// copy of this software and associated documentation files (the
-// "Software"), to deal in the Software without restriction, including
-// without limitation the rights to use, copy, modify, merge, publish,
-// distribute, sublicense, and/or sell copies of the Software, and to permit
-// persons to whom the Software is furnished to do so, subject to the
-// following conditions:
-//
-// The above copyright notice and this permission notice shall be included
-// in all copies or substantial portions of the Software.
-//
-// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
-// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
-// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN
-// NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
-// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR
-// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE
-// USE OR OTHER DEALINGS IN THE SOFTWARE.
-
-// Test that the usage of elliptic curves are not permitted if disabled during
-// server initialization.
-
-'use strict';
-const common = require('../common');
-const { readKey } = require('../common/fixtures');
-if (!common.hasCrypto)
-  common.skip('missing crypto');
-
-if (!common.opensslCli)
-  common.skip('missing openssl-cli');
-
-const OPENSSL_VERSION_NUMBER =
-  require('crypto').constants.OPENSSL_VERSION_NUMBER;
-if (OPENSSL_VERSION_NUMBER >= 0x10100000)
-  common.skip('false ecdhCurve not supported in OpenSSL 1.1.0');
-
-const assert = require('assert');
-const tls = require('tls');
-const exec = require('child_process').exec;
-
-const options = {
-  key: readKey('agent2-key.pem'),
-  cert: readKey('agent2-cert.pem'),
-  ciphers: 'ECDHE-RSA-AES128-SHA',
-  ecdhCurve: false
-};
-
-common.expectWarning('DeprecationWarning',
-                     '{ ecdhCurve: false } is deprecated.',
-                     'DEP0083');
-
-const server = tls.createServer(options, common.mustNotCall());
-
-server.listen(0, '127.0.0.1', common.mustCall(function() {
-  const cmd = `"${common.opensslCli}" s_client -cipher ${
-    options.ciphers} -connect 127.0.0.1:${this.address().port}`;
-
-  exec(cmd, common.mustCall(function(err, stdout, stderr) {
-    // Old versions of openssl will still exit with 0 so we
-    // can't just check if err is not null.
-    assert(stderr.includes('handshake failure'));
-    server.close();
-  }));
-}));