diff --git a/.appveyor/packages.yml b/.appveyor/packages.yml
index cc1fae5f..5faf67ac 100644
--- a/.appveyor/packages.yml
+++ b/.appveyor/packages.yml
@@ -24,8 +24,8 @@ environment:
 
     WORKFLOW: packages
 
-    OPENSSL_VERSION: "1_1_1k"
-    POSTGRES_VERSION: "13_3"
+    OPENSSL_VERSION: "1_1_1l"
+    POSTGRES_VERSION: "14_1"
 
     PSYCOPG2_TESTDB: psycopg2_test
     PSYCOPG2_TESTDB_USER: postgres
diff --git a/.appveyor/tests.yml b/.appveyor/tests.yml
index 22090b86..21ed9ee5 100644
--- a/.appveyor/tests.yml
+++ b/.appveyor/tests.yml
@@ -19,8 +19,8 @@ environment:
 
     WORKFLOW: tests
 
-    OPENSSL_VERSION: "1_1_1k"
-    POSTGRES_VERSION: "13_3"
+    OPENSSL_VERSION: "1_1_1l"
+    POSTGRES_VERSION: "14_1"
 
     PSYCOPG2_TESTDB: psycopg2_test
     PSYCOPG2_TESTDB_USER: postgres
diff --git a/NEWS b/NEWS
index e8e64df3..f462fc1b 100644
--- a/NEWS
+++ b/NEWS
@@ -7,6 +7,8 @@ What's new in psycopg 2.9.2
 - Raise `ValueError` for dates >= Y10k (:ticket:`#1307`).
 - `~psycopg2.errorcodes` map and `~psycopg2.errors` classes updated to
   PostgreSQL 14.
+- Wheel package compiled against OpenSSL 1.1.1l and PostgreSQL 14.1
+  (:ticket:`#1388`).
 
 
 What's new in psycopg 2.9.1
diff --git a/scripts/build/appveyor.cache_rebuild b/scripts/build/appveyor.cache_rebuild
index d4d2ed2a..68535798 100644
--- a/scripts/build/appveyor.cache_rebuild
+++ b/scripts/build/appveyor.cache_rebuild
@@ -9,10 +9,10 @@ To invalidate the cache, update this file and check it into git.
 Currently used modules built in the cache:
 
 OpenSSL
-        Version: 1.1.1k
+        Version: 1.1.1l
 
 PostgreSQL
-        Version: 13.3
+        Version: 14.1
 
 
 NOTE: to zap the cache manually you can also use:
diff --git a/scripts/build/build_libpq.sh b/scripts/build/build_libpq.sh
index 32d2222d..3d297ada 100755
--- a/scripts/build/build_libpq.sh
+++ b/scripts/build/build_libpq.sh
@@ -5,10 +5,10 @@
 set -euo pipefail
 set -x
 
-openssl_version="1.1.1k"
+openssl_version="1.1.1l"
 ldap_version="2.4.59"
 sasl_version="2.1.27"
-postgres_version="13.3"
+postgres_version="14.1"
 
 yum install -y zlib-devel krb5-devel pam-devel
 
diff --git a/scripts/build/build_macos.sh b/scripts/build/build_macos.sh
index 0fe4b56c..73b6d775 100755
--- a/scripts/build/build_macos.sh
+++ b/scripts/build/build_macos.sh
@@ -11,7 +11,10 @@ set -x
 dir="$( cd "$( dirname "${BASH_SOURCE[0]}" )" && pwd )"
 prjdir="$( cd "${dir}/../.." && pwd )"
 
-brew install gnu-sed postgresql@13
+brew update
+brew install gnu-sed postgresql@14
+# Fetch 14.1 if 14.0 is still the default  version
+brew reinstall postgresql
 
 # Start the database for testing
 brew services start postgresql