diff --git a/.github/workflows/unix.yml b/.github/workflows/unix.yml
index b3dd56b7ac..9c6142187e 100644
--- a/.github/workflows/unix.yml
+++ b/.github/workflows/unix.yml
@@ -222,3 +222,50 @@ jobs:
       - name: Run tests
         run: mkdir -p tmp && python3 -m pytest --verbose --ignore=tests/test_code_conventions.py --ignore=tests/test_kat_all.py ${{ matrix.PYTEST_ARGS }}
         timeout-minutes: 60
+
+  linux_openssl330-dev:
+    needs: buildcheck
+    runs-on: ubuntu-latest
+    container:
+      image: openquantumsafe/ci-ubuntu-jammy:latest
+    steps:
+      - name: Checkout code
+        uses: actions/checkout@v4
+      - name: Retrieve OpenSSL330 from cache
+        id: cache-openssl330
+        uses: actions/cache@v3
+        with:
+          path: .localopenssl330
+          key: ${{ runner.os }}-openssl330
+      - name: Checkout the OpenSSL v3.3.0 commit
+        if: steps.cache-openssl330.outputs.cache-hit != 'true'
+        uses: actions/checkout@v4
+        with:
+          repository: 'openssl/openssl'
+          ref: 'openssl-3.3.0-beta1'
+          path: openssl
+      - name: Prepare the OpenSSL build directory
+        if: steps.cache-openssl330.outputs.cache-hit != 'true'
+        run: mkdir .localopenssl330
+        working-directory: openssl
+      - name: Build openssl3 if not cached
+        if: steps.cache-openssl330.outputs.cache-hit != 'true'
+        run: |
+          ./config --prefix=`pwd`/../.localopenssl330 && make -j 4 && make install_sw install_ssldirs
+        working-directory: openssl
+      - name: Save OpenSSL
+        id: cache-openssl-save
+        if: steps.cache-openssl330.outputs.cache-hit != 'true'
+        uses: actions/cache/save@v3
+        with:
+          path: |
+            .localopenssl330
+          key: ${{ runner.os }}-openssl330
+      - name: Configure
+        run: mkdir build && cd build && cmake -GNinja -DOQS_STRICT_WARNINGS=ON -DOPENSSL_ROOT_DIR=../.localopenssl330 -DOQS_USE_OPENSSL=ON -DBUILD_SHARED_LIBS=ON -DOQS_USE_AES_OPENSSL=ON -DOQS_USE_SHA2_OPENSSL=ON -DOQS_USE_SHA3_OPENSSL=ON .. && cmake -LA ..
+      - name: Build
+        run: ninja
+        working-directory: build
+      - name: Run tests
+        timeout-minutes: 60
+        run: mkdir -p tmp && python3 -m pytest --verbose --ignore=tests/test_code_conventions.py --ignore=tests/test_leaks.py --ignore=tests/test_kat_all.py
\ No newline at end of file
diff --git a/src/common/sha3/ossl_sha3.c b/src/common/sha3/ossl_sha3.c
index de95fc3992..1b65b37662 100644
--- a/src/common/sha3/ossl_sha3.c
+++ b/src/common/sha3/ossl_sha3.c
@@ -144,6 +144,8 @@ static void SHA3_shake128(uint8_t *output, size_t outlen, const uint8_t *input,
 }
 
 /* SHAKE-128 incremental
+ *
+ * Note: the comment below has been addressed in OpenSSL version 3.3.0
  *
  * XXX: The OpenSSL XOF API only allows for a single
  * call to squeeze (EVP_DigestFinalXOF).
@@ -185,6 +187,9 @@ static void SHA3_shake128_inc_finalize(OQS_SHA3_shake128_inc_ctx *state) {
 
 static void SHA3_shake128_inc_squeeze(uint8_t *output, size_t outlen, OQS_SHA3_shake128_inc_ctx *state) {
 	intrn_shake128_inc_ctx *s = (intrn_shake128_inc_ctx *)state->ctx;
+#if OPENSSL_VERSION_NUMBER >= 0x30300000L
+	EVP_DigestSqueeze(s->mdctx, output, outlen);
+#else
 	EVP_MD_CTX *clone;
 
 	clone = OSSL_FUNC(EVP_MD_CTX_new)();
@@ -204,6 +209,7 @@ static void SHA3_shake128_inc_squeeze(uint8_t *output, size_t outlen, OQS_SHA3_s
 	}
 	OSSL_FUNC(EVP_MD_CTX_free)(clone);
 	s->n_out += outlen;
+#endif
 }
 
 static void SHA3_shake128_inc_ctx_release(OQS_SHA3_shake128_inc_ctx *state) {
@@ -232,10 +238,7 @@ static void SHA3_shake256(uint8_t *output, size_t outlen, const uint8_t *input,
 	do_xof(output, outlen, input, inplen, oqs_shake256());
 }
 
-/* SHAKE-256 incremental
- *
- * XXX: See note above regarding SHAKE-128 incremental
- */
+/* SHAKE-256 incremental */
 
 typedef struct {
 	EVP_MD_CTX *mdctx;
@@ -262,6 +265,9 @@ static void SHA3_shake256_inc_finalize(OQS_SHA3_shake256_inc_ctx *state) {
 
 static void SHA3_shake256_inc_squeeze(uint8_t *output, size_t outlen, OQS_SHA3_shake256_inc_ctx *state) {
 	intrn_shake256_inc_ctx *s = (intrn_shake256_inc_ctx *)state->ctx;
+#if OPENSSL_VERSION_NUMBER >= 0x30300000L
+	EVP_DigestSqueeze(s->mdctx, output, outlen);
+#else
 	EVP_MD_CTX *clone;
 
 	clone = OSSL_FUNC(EVP_MD_CTX_new)();
@@ -281,6 +287,7 @@ static void SHA3_shake256_inc_squeeze(uint8_t *output, size_t outlen, OQS_SHA3_s
 	}
 	OSSL_FUNC(EVP_MD_CTX_free)(clone);
 	s->n_out += outlen;
+#endif
 }
 
 static void SHA3_shake256_inc_ctx_release(OQS_SHA3_shake256_inc_ctx *state) {
diff --git a/src/common/sha3/ossl_sha3x4.c b/src/common/sha3/ossl_sha3x4.c
index fec62ad617..971a26c4e8 100644
--- a/src/common/sha3/ossl_sha3x4.c
+++ b/src/common/sha3/ossl_sha3x4.c
@@ -61,6 +61,12 @@ static void SHA3_shake128_x4_inc_finalize(OQS_SHA3_shake128_x4_inc_ctx *state) {
 
 static void SHA3_shake128_x4_inc_squeeze(uint8_t *out0, uint8_t *out1, uint8_t *out2, uint8_t *out3, size_t outlen, OQS_SHA3_shake128_x4_inc_ctx *state) {
 	intrn_shake128_x4_inc_ctx *s = (intrn_shake128_x4_inc_ctx *)state->ctx;
+#if OPENSSL_VERSION_NUMBER >= 0x30300000L
+	EVP_DigestSqueeze(s->mdctx0, out0, outlen);
+	EVP_DigestSqueeze(s->mdctx1, out1, outlen);
+	EVP_DigestSqueeze(s->mdctx2, out2, outlen);
+	EVP_DigestSqueeze(s->mdctx3, out3, outlen);
+#else
 	EVP_MD_CTX *clone;
 
 	clone = OSSL_FUNC(EVP_MD_CTX_new)();
@@ -96,6 +102,7 @@ static void SHA3_shake128_x4_inc_squeeze(uint8_t *out0, uint8_t *out1, uint8_t *
 	}
 	OSSL_FUNC(EVP_MD_CTX_free)(clone);
 	s->n_out += outlen;
+#endif
 }
 
 static void SHA3_shake128_x4_inc_ctx_clone(OQS_SHA3_shake128_x4_inc_ctx *dest, const OQS_SHA3_shake128_x4_inc_ctx *src) {
@@ -179,6 +186,12 @@ static void SHA3_shake256_x4_inc_finalize(OQS_SHA3_shake256_x4_inc_ctx *state) {
 
 static void SHA3_shake256_x4_inc_squeeze(uint8_t *out0, uint8_t *out1, uint8_t *out2, uint8_t *out3, size_t outlen, OQS_SHA3_shake256_x4_inc_ctx *state) {
 	intrn_shake256_x4_inc_ctx *s = (intrn_shake256_x4_inc_ctx *)state->ctx;
+#if OPENSSL_VERSION_NUMBER >= 0x30300000L
+	EVP_DigestSqueeze(s->mdctx0, out0, outlen);
+	EVP_DigestSqueeze(s->mdctx1, out1, outlen);
+	EVP_DigestSqueeze(s->mdctx2, out2, outlen);
+	EVP_DigestSqueeze(s->mdctx3, out3, outlen);
+#else
 	EVP_MD_CTX *clone;
 
 	clone = OSSL_FUNC(EVP_MD_CTX_new)();
@@ -214,6 +227,7 @@ static void SHA3_shake256_x4_inc_squeeze(uint8_t *out0, uint8_t *out1, uint8_t *
 	}
 	OSSL_FUNC(EVP_MD_CTX_free)(clone);
 	s->n_out += outlen;
+#endif
 }
 
 static void SHA3_shake256_x4_inc_ctx_clone(OQS_SHA3_shake256_x4_inc_ctx *dest, const OQS_SHA3_shake256_x4_inc_ctx *src) {