diff --git a/.github/workflows/test.yaml b/.github/workflows/test.yaml
index 5e621fa..93a1baa 100644
--- a/.github/workflows/test.yaml
+++ b/.github/workflows/test.yaml
@@ -32,7 +32,7 @@ jobs:
   test:
     name: ${{ matrix.os }} - PostgreSQL ${{ matrix.postgresql-version }}
     runs-on: ${{ matrix.os }}-latest
-    timeout-minutes: 15
+    timeout-minutes: ${{ matrix.os == 'macos' && 30 || 15 }}
     strategy:
       fail-fast: false
       matrix:
@@ -41,6 +41,7 @@ jobs:
           - ubuntu
         postgresql-version:
           - "15"
+          - "16"
     steps:
       - uses: actions/checkout@v4
       - name: Prepare
diff --git a/.github/workflows/verify-rc.yaml b/.github/workflows/verify-rc.yaml
index 2255d61..86a966b 100644
--- a/.github/workflows/verify-rc.yaml
+++ b/.github/workflows/verify-rc.yaml
@@ -40,6 +40,7 @@ jobs:
           - ubuntu
         postgresql-version:
           - "15"
+          - "16"
     steps:
       - uses: actions/checkout@v4
       - name: Prepare
diff --git a/Brewfile b/Brewfile
index 160a39d..e81591e 100644
--- a/Brewfile
+++ b/Brewfile
@@ -16,7 +16,8 @@
 # under the License.
 
 brew "apache-arrow-glib"
+brew "gobject-introspection"
 brew "libpq"
 brew "meson"
-brew "gobject-introspection"
+brew "openssl@3"
 brew "postgresql@15"
diff --git a/ci/scripts/prepare-macos.sh b/ci/scripts/prepare-macos.sh
index 671fc14..4e051dc 100755
--- a/ci/scripts/prepare-macos.sh
+++ b/ci/scripts/prepare-macos.sh
@@ -26,5 +26,5 @@ sed \
   -e "s/postgresql@[0-9]*/postgresql@${postgresql_version}/g" \
   Brewfile
 brew update
-brew bundle
+brew bundle --verbose
 echo "$(brew --prefix postgresql@${postgresql_version})/bin" >> "${GITHUB_PATH}"
diff --git a/dev/prepare-tls.sh b/dev/prepare-tls.sh
index e2620ce..a91b345 100755
--- a/dev/prepare-tls.sh
+++ b/dev/prepare-tls.sh
@@ -29,6 +29,13 @@ root_name=$1
 server_name=$2
 client_name=$3
 
+if [ "$(uname)" = "Darwin" ]; then
+  PATH="$(brew --prefix openssl@3)/bin:${PATH}"
+  extfile="$(brew --prefix)/etc/openssl@3/openssl.cnf"
+else
+  extfile=/etc/ssl/openssl.cnf
+fi
+
 openssl req \
         -addext "subjectAltName = DNS:${root_name}" \
         -keyout root.key \
@@ -43,7 +50,7 @@ openssl x509 \
         -copy_extensions copy \
         -days 3650 \
         -extensions v3_ca \
-        -extfile /etc/ssl/openssl.cnf \
+        -extfile ${extfile} \
         -in root.csr \
         -out root.crt \
         -req \
diff --git a/dev/release/verify-rc.sh b/dev/release/verify-rc.sh
index b7b9a6e..208d545 100755
--- a/dev/release/verify-rc.sh
+++ b/dev/release/verify-rc.sh
@@ -202,6 +202,7 @@ test_source_distribution() {
     fi
   fi
 
+  rm -rf build
   meson setup \
         --prefix="${ARROW_TMPDIR}/install" \
         -Dpostgresql_dir="$(pg_config --bindir)/.." \
diff --git a/meson.build b/meson.build
index 20dc348..266af95 100644
--- a/meson.build
+++ b/meson.build
@@ -69,12 +69,17 @@ postgresql = declare_dependency(
   ]
 )
 install_dir = run_command(pg_config, '--pkglibdir', check: true).stdout().strip()
+name_suffix = 'so'
+if host_machine.system() == 'darwin' and \
+   pg_config.version().version_compare('>= 16')
+  name_suffix = 'dylib'
+endif
 afs = shared_module(
   'arrow_flight_sql',
   'src/afs.cc',
   dependencies: [arrow_flight_sql, postgresql],
   name_prefix: '',
-  name_suffix: 'so',
+  name_suffix: name_suffix,
   install: true,
   install_dir: install_dir,
 )
@@ -82,7 +87,7 @@ afs = shared_module(
 install_data(
   'LICENSE.txt',
   'NOTICE.txt',
-  # 'README.md',
+  'README.md',
   install_dir: project_doc_dir
 )