diff --git a/test/openssl/fixtures/pkey/mldsa65-1.pem b/test/openssl/fixtures/pkey/mldsa65-1.pem
new file mode 100644
index 000000000..21f08e3ac
--- /dev/null
+++ b/test/openssl/fixtures/pkey/mldsa65-1.pem
@@ -0,0 +1,88 @@
+-----BEGIN PRIVATE KEY-----
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+-----END PRIVATE KEY-----
diff --git a/test/openssl/fixtures/pkey/mldsa65-2.pem b/test/openssl/fixtures/pkey/mldsa65-2.pem
new file mode 100644
index 000000000..0ae64c2c5
--- /dev/null
+++ b/test/openssl/fixtures/pkey/mldsa65-2.pem
@@ -0,0 +1,88 @@
+-----BEGIN PRIVATE KEY-----
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+pbpJPoCGPT+kNvHbWrziupkaFYRTy3kHlhkZ7aqqq5phtDVk89LmS355V46t6CoL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+-----END PRIVATE KEY-----
diff --git a/test/openssl/test_ssl.rb b/test/openssl/test_ssl.rb
index 05f295076..fc19f4d94 100644
--- a/test/openssl/test_ssl.rb
+++ b/test/openssl/test_ssl.rb
@@ -2062,6 +2062,57 @@ def test_get_sigalg
     end
   end
 
+  def test_pqc_sigalg
+    # PQC algorithm ML-DSA (FIPS 204) is supported on OpenSSL 3.5 or later.
+    return unless openssl?(3, 5, 0)
+
+    mldsa = Fixtures.pkey("mldsa65-1")
+    mldsa_ca_key  = Fixtures.pkey("mldsa65-2")
+    mldsa_ca_cert = issue_cert(@ca, mldsa_ca_key, 1, @ca_exts, nil, nil,
+                               digest: nil)
+    mldsa_cert = issue_cert(@svr, mldsa, 60, [], mldsa_ca_cert, mldsa_ca_key,
+                            digest: nil)
+    rsa = Fixtures.pkey("rsa2048")
+    rsa_cert = issue_cert(@svr, rsa, 61, [], @ca_cert, @ca_key)
+    ctx_proc = -> ctx {
+      # Unset values set by start_server
+      ctx.cert = ctx.key = ctx.extra_chain_cert = nil
+      ctx.add_certificate(mldsa_cert, mldsa)
+      ctx.add_certificate(rsa_cert, rsa)
+    }
+
+    server_proc = -> (ctx, ssl) {
+      assert_equal('mldsa65', ssl.sigalg)
+
+      readwrite_loop(ctx, ssl)
+    }
+    start_server(ctx_proc: ctx_proc, server_proc: server_proc) do |port|
+      ctx = OpenSSL::SSL::SSLContext.new
+      # Set signature algorithm because while OpenSSL may use ML-DSA by
+      # default, the system OpenSSL configuration affects the used signature
+      # algorithm.
+      ctx.sigalgs = 'mldsa65'
+      server_connect(port, ctx) { |ssl|
+        assert_equal('mldsa65', ssl.peer_sigalg)
+        ssl.puts "abc"; ssl.gets
+      }
+    end
+
+    server_proc = -> (ctx, ssl) {
+      assert_equal('rsa_pss_rsae_sha256', ssl.sigalg)
+
+      readwrite_loop(ctx, ssl)
+    }
+    start_server(ctx_proc: ctx_proc, server_proc: server_proc) do |port|
+      ctx = OpenSSL::SSL::SSLContext.new
+      ctx.sigalgs = 'rsa_pss_rsae_sha256'
+      server_connect(port, ctx) { |ssl|
+        assert_equal('rsa_pss_rsae_sha256', ssl.peer_sigalg)
+        ssl.puts "abc"; ssl.gets
+      }
+    end
+  end
+
   def test_connect_works_when_setting_dh_callback_to_nil
     omit "AWS-LC does not support DHE ciphersuites" if aws_lc?
 
@@ -2158,6 +2209,29 @@ def test_set_groups_tls13
     end
   end
 
+  def test_pqc_group
+    # PQC algorithm ML-KEM (FIPS 203) is supported on OpenSSL 3.5 or later.
+    return unless openssl?(3, 5, 0)
+
+    [
+      'X25519MLKEM768',
+      'SecP256r1MLKEM768',
+      'SecP384r1MLKEM1024'
+    ].each do |group|
+      ctx_proc = -> ctx {
+        ctx.groups = group
+      }
+      start_server(ctx_proc: ctx_proc) do |port|
+        ctx = OpenSSL::SSL::SSLContext.new
+        ctx.groups = group
+        server_connect(port, ctx) { |ssl|
+          assert_equal(group, ssl.group)
+          ssl.puts "abc"; ssl.gets
+        }
+      end
+    end
+  end
+
   def test_security_level
     ctx = OpenSSL::SSL::SSLContext.new
     ctx.security_level = 1
diff --git a/test/openssl/utils.rb b/test/openssl/utils.rb
index ff789ff28..8d6261253 100644
--- a/test/openssl/utils.rb
+++ b/test/openssl/utils.rb
@@ -177,16 +177,16 @@ def setup
     @ca  = OpenSSL::X509::Name.parse("/DC=org/DC=ruby-lang/CN=CA")
     @svr = OpenSSL::X509::Name.parse("/DC=org/DC=ruby-lang/CN=localhost")
     @cli = OpenSSL::X509::Name.parse("/DC=org/DC=ruby-lang/CN=localhost")
-    ca_exts = [
+    @ca_exts = [
       ["basicConstraints","CA:TRUE",true],
       ["keyUsage","cRLSign,keyCertSign",true],
     ]
-    ee_exts = [
+    @ee_exts = [
       ["keyUsage","keyEncipherment,digitalSignature",true],
     ]
-    @ca_cert  = issue_cert(@ca, @ca_key, 1, ca_exts, nil, nil)
-    @svr_cert = issue_cert(@svr, @svr_key, 2, ee_exts, @ca_cert, @ca_key)
-    @cli_cert = issue_cert(@cli, @cli_key, 3, ee_exts, @ca_cert, @ca_key)
+    @ca_cert  = issue_cert(@ca, @ca_key, 1, @ca_exts, nil, nil)
+    @svr_cert = issue_cert(@svr, @svr_key, 2, @ee_exts, @ca_cert, @ca_key)
+    @cli_cert = issue_cert(@cli, @cli_key, 3, @ee_exts, @ca_cert, @ca_key)
     @server = nil
   end