A number of Node.js tests fail when Node.js is compiled dynamically linked against OpenSSL 3.2 (tested with OpenSSL 3.2.2).
i.e.

./configure --shared-openssl
make -j 4 test-ci

Full tap results: https://gist.github.com/richardlau/ce642daf2ffd581755232a924f9f8f63

Failures:

• out/Release/node /home/nodejs/node/test/parallel/test-crypto-dh.js test: fix OpenSSL version checks #53503
• out/Release/node /home/nodejs/node/test/parallel/test-http2-https-fallback.js Also fails with OpenSSL 3.0.14 test: update tests for OpenSSL 3.0.14 #53373
• out/Release/node /home/nodejs/node/test/parallel/test-http2-server-unknown-protocol.js Also fails with OpenSSL 3.0.14 test: update tests for OpenSSL 3.0.14 #53373
• out/Release/node /home/nodejs/node/test/parallel/test-https-client-checkServerIdentity.js test: increase key size for ca2-cert.pem #54599
• out/Release/node /home/nodejs/node/test/parallel/test-https-strict.js test: increase key size for ca2-cert.pem #54599
• out/Release/node /home/nodejs/node/test/parallel/test-tls-alert-handling.js test: adjust tls test for OpenSSL32 #54909
• out/Release/node /home/nodejs/node/test/parallel/test-tls-cert-regression.js test: update test to support OpenSSL32 #54968
• out/Release/node /home/nodejs/node/test/parallel/test-tls-client-getephemeralkeyinfo.js test: update tls test to support OpenSSL32 #55030
• out/Release/node /home/nodejs/node/test/parallel/test-tls-alpn-server-client.js Also fails with OpenSSL 3.0.14 test: update tests for OpenSSL 3.0.14 #53373
• out/Release/node /home/nodejs/node/test/parallel/test-tls-client-mindhsize.js test: fix test-tls-client-mindhsize for OpenSSL32 #54739
• out/Release/node /home/nodejs/node/test/parallel/test-tls-client-renegotiation-13.js test: increase key size for ca2-cert.pem #54599
• out/Release/node /home/nodejs/node/test/parallel/test-tls-client-auth.js test: fix test-tls-client-auth test for OpenSSL32 #54610
• out/Release/node /home/nodejs/node/test/parallel/test-tls-client-verify.js test: increase key size for ca2-cert.pem #54599
• out/Release/node /home/nodejs/node/test/parallel/test-tls-empty-sni-context.js test: update TLS tests for OpenSSL 3.2 #53384
• out/Release/node --no-warnings /home/nodejs/node/test/parallel/test-tls-dhe.js test: fix test test-tls-dhe for OpenSSL32 #54903
• out/Release/node /home/nodejs/node/test/parallel/test-tls-getcipher.js test: adjust key sizes to support OpenSSL32 #54972
• out/Release/node /home/nodejs/node/test/parallel/test-tls-junk-server.js test: adjust test-tls-junk-server for OpenSSL32 #54926
• out/Release/node /home/nodejs/node/test/parallel/test-tls-multiple-cas-as-string.js test: increase key size for ca2-cert.pem #54599
• out/Release/node /home/nodejs/node/test/parallel/test-tls-peer-certificate-encoding.js test: increase key size for ca2-cert.pem #54599
• out/Release/node /home/nodejs/node/test/parallel/test-tls-multi-key.js test: increase key size for ca2-cert.pem #54599
• out/Release/node /home/nodejs/node/test/parallel/test-tls-psk-circuit.js test: update TLS tests for OpenSSL 3.2 #53384
• out/Release/node /home/nodejs/node/test/parallel/test-tls-sni-server-client.js test: increase key size for ca2-cert.pem #54599
• out/Release/node /home/nodejs/node/test/parallel/test-tls-set-ciphers.js test: adjust tls-set-ciphers for OpenSSL32 #55016
• out/Release/node /home/nodejs/node/test/parallel/test-tls-sni-option.js test: increase key size for ca2-cert.pem #54599
• out/Release/node /home/nodejs/node/test/parallel/test-tls-server-verify.js test: increase key size for ca2-cert.pem #54599
• out/Release/node /home/nodejs/node/test/parallel/test-tls-junk-closes-server.js also reported in Pass node 18.x branch tests when compiled against shared openssl 3.2 #52482 test: fix test-tls-junk-closes-server #55089 (comment)

In our Jenkins CI we currently test in node-test-commit-linux-containered Node.js dynamically linked against OpenSSL 3.0 and 3.1. Addressing the above test failures would be required before we can add testing against OpenSSL 3.2 to the CI.