diff --git a/.github/workflows/aws_tfhe_integer_tests.yml b/.github/workflows/aws_tfhe_integer_tests.yml
index 54df464b07..2dae928443 100644
--- a/.github/workflows/aws_tfhe_integer_tests.yml
+++ b/.github/workflows/aws_tfhe_integer_tests.yml
@@ -4,6 +4,7 @@ env:
   CARGO_TERM_COLOR: always
   ACTION_RUN_URL: ${{ github.server_url }}/${{ github.repository }}/actions/runs/${{ github.run_id }}
   RUSTFLAGS: "-C target-cpu=native"
+  AVX512_SUPPORT: "ON"
 
 on:
   # Allows you to run this workflow manually from the Actions tab as an alternative.
diff --git a/.github/workflows/aws_tfhe_multi_bit_tests.yml b/.github/workflows/aws_tfhe_multi_bit_tests.yml
index 3f08e88baa..5dd7e840e9 100644
--- a/.github/workflows/aws_tfhe_multi_bit_tests.yml
+++ b/.github/workflows/aws_tfhe_multi_bit_tests.yml
@@ -4,6 +4,7 @@ env:
   CARGO_TERM_COLOR: always
   ACTION_RUN_URL: ${{ github.server_url }}/${{ github.repository }}/actions/runs/${{ github.run_id }}
   RUSTFLAGS: "-C target-cpu=native"
+  AVX512_SUPPORT: "ON"
 
 on:
   # Allows you to run this workflow manually from the Actions tab as an alternative.
diff --git a/Makefile b/Makefile
index bb380276c3..8ded5bcf23 100644
--- a/Makefile
+++ b/Makefile
@@ -363,17 +363,17 @@ test_shortint_cov: install_rs_check_toolchain install_tarpaulin
 		-p tfhe -- shortint::
 
 .PHONY: test_integer_ci # Run the tests for integer ci
-test_integer_ci: install_rs_build_toolchain install_cargo_nextest
+test_integer_ci: install_rs_check_toolchain install_cargo_nextest
 	BIG_TESTS_INSTANCE="$(BIG_TESTS_INSTANCE)" \
 	FAST_TESTS="$(FAST_TESTS)" \
-		./scripts/integer-tests.sh --rust-toolchain $(CARGO_RS_BUILD_TOOLCHAIN) \
+		./scripts/integer-tests.sh --rust-toolchain $(CARGO_RS_CHECK_TOOLCHAIN) \
 		--cargo-profile "$(CARGO_PROFILE)"
 
 .PHONY: test_integer_multi_bit_ci # Run the tests for integer ci running only multibit tests
-test_integer_multi_bit_ci: install_rs_build_toolchain install_cargo_nextest
+test_integer_multi_bit_ci: install_rs_check_toolchain install_cargo_nextest
 	BIG_TESTS_INSTANCE="$(BIG_TESTS_INSTANCE)" \
 	FAST_TESTS="$(FAST_TESTS)" \
-		./scripts/integer-tests.sh --rust-toolchain $(CARGO_RS_BUILD_TOOLCHAIN) \
+		./scripts/integer-tests.sh --rust-toolchain $(CARGO_RS_CHECK_TOOLCHAIN) \
 		--cargo-profile "$(CARGO_PROFILE)" --multi-bit
 
 .PHONY: test_integer # Run all the tests for integer
diff --git a/scripts/integer-tests.sh b/scripts/integer-tests.sh
index 74144c80ce..3bba126a37 100755
--- a/scripts/integer-tests.sh
+++ b/scripts/integer-tests.sh
@@ -16,6 +16,8 @@ RUST_TOOLCHAIN="+stable"
 multi_bit=""
 not_multi_bit="_multi_bit"
 cargo_profile="release"
+# Normalize if it's set by the Makefile
+AVX512_FEATURE="${AVX512_FEATURE:+${AVX512_FEATURE}}"
 
 while [ -n "$1" ]
 do
@@ -104,7 +106,7 @@ and not test(/.*default_add_sequence_multi_thread_param_message_3_carry_3_ks_pbs
         --cargo-profile "${cargo_profile}" \
         --package tfhe \
         --profile ci \
-        --features="${ARCH_FEATURE}",integer,internal-keycache \
+        --features="${ARCH_FEATURE}",integer,internal-keycache,"${AVX512_FEATURE}" \
         --test-threads "${n_threads}" \
         -E "$filter_expression"
 
@@ -112,7 +114,7 @@ and not test(/.*default_add_sequence_multi_thread_param_message_3_carry_3_ks_pbs
         cargo "${RUST_TOOLCHAIN}" test \
             --profile "${cargo_profile}" \
             --package tfhe \
-            --features="${ARCH_FEATURE}",integer,internal-keycache \
+            --features="${ARCH_FEATURE}",integer,internal-keycache,"${AVX512_FEATURE}" \
             --doc \
             -- integer::
     fi
@@ -148,7 +150,7 @@ and not test(/.*default_add_sequence_multi_thread_param_message_3_carry_3_ks_pbs
         --cargo-profile "${cargo_profile}" \
         --package tfhe \
         --profile ci \
-        --features="${ARCH_FEATURE}",integer,internal-keycache \
+        --features="${ARCH_FEATURE}",integer,internal-keycache,"${AVX512_FEATURE}" \
         --test-threads $num_threads \
         -E "$filter_expression"
 
@@ -156,7 +158,7 @@ and not test(/.*default_add_sequence_multi_thread_param_message_3_carry_3_ks_pbs
         cargo "${RUST_TOOLCHAIN}" test \
             --profile "${cargo_profile}" \
             --package tfhe \
-            --features="${ARCH_FEATURE}",integer,internal-keycache \
+            --features="${ARCH_FEATURE}",integer,internal-keycache,"${AVX512_FEATURE}" \
             --doc \
             -- --test-threads="$(${nproc_bin})" integer::
     fi