diff --git a/debian/rules b/debian/rules
index 65917257..b83d15c3 100755
--- a/debian/rules
+++ b/debian/rules
@@ -12,11 +12,6 @@ export DPKG_GENSYMBOLS_CHECK_LEVEL := 4
 # Copy in build directory all content to embed
 export DH_GOLANG_INSTALL_ALL := 1
 
-# The NSS integration tests require building the Rust lib, which turns to crates.io by default.
-# Since specifying the --offline flag also does not work, we must skip the integration tests when
-# building the package.
-export AAD_SKIP_INTEGRATION_TESTS := 1
-
 # The following definitions are necessary because of the manual steps
 # we need to do to work around some issues with either dh-cargo,
 # the wrapper, or cargo
@@ -68,6 +63,14 @@ override_dh_auto_build:
 
 override_dh_auto_test:
 	dh_auto_test --buildsystem=cargo -- test --all
+
+	# We need to specify these Rust related variables to the Go tests in order to build the NSS lib
+	# with the cargo wrapper in the integration tests in order to force cargo to use vendored deps
+	# instead of querying crates.io for them.
+	DEB_HOST_GNU_TYPE=$(DEB_HOST_GNU_TYPE) \
+	DEB_HOST_RUST_TYPE=$(DEB_HOST_RUST_TYPE) \
+	CARGO_HOME=$(CURDIR)/debian/cargo_home \
+	CARGO_PATH=$(CARGO) \
 	dh_auto_test
 
 override_dh_auto_install:
diff --git a/nss/integration-tests/helper_test.go b/nss/integration-tests/helper_test.go
index 5e36fd31..461b42dc 100644
--- a/nss/integration-tests/helper_test.go
+++ b/nss/integration-tests/helper_test.go
@@ -11,7 +11,7 @@ import (
 	"testing"
 )
 
-var libPath string
+var targetDir, libPath string
 
 // outNSSCommandForLib returns the specific part for the nss command, filtering originOut.
 // It uses the locally build aad nss module for the integration tests.
@@ -65,19 +65,23 @@ func buildRustNSSLib() error {
 		return err
 	}
 	// Builds the nss library.
-	args := []string{"build", "--features", "integration-tests"}
-	cmd := exec.Command("cargo", args...)
+	args := []string{"build", "--verbose", "--features", "integration-tests", "--target-dir", targetDir}
+
+	cargo := os.Getenv("CARGO_PATH")
+	if cargo == "" {
+		cargo = "cargo"
+	}
+	// #nosec:G204 - we control the command arguments in tests
+	cmd := exec.Command(cargo, args...)
 	cmd.Dir = aadPath
 	if out, err := cmd.CombinedOutput(); err != nil {
 		return fmt.Errorf("could not build rust nss library (%s): %w", out, err)
 	}
+	targetDir = filepath.Join(targetDir, os.Getenv("DEB_HOST_RUST_TYPE"))
 
-	// Moves the compiled library to the expected path.
-	args = []string{filepath.Join(aadPath, "target", "debug", "libnss_aad.so"), libPath}
-	cmd = exec.Command("cp", args...)
-	if out, err := cmd.CombinedOutput(); err != nil {
-		return fmt.Errorf("could not copy the compiled rust nss library (%s): %w", out, err)
+	// Renames the compiled library to have the expected versioned name.
+	if err = os.Rename(filepath.Join(targetDir, "debug", "libnss_aad.so"), libPath); err != nil {
+		return fmt.Errorf("Setup: could not rename the Rust NSS library: %w", err)
 	}
-
 	return nil
 }
diff --git a/nss/integration-tests/integration_test.go b/nss/integration-tests/integration_test.go
index 5f28a20c..263bff7d 100644
--- a/nss/integration-tests/integration_test.go
+++ b/nss/integration-tests/integration_test.go
@@ -153,11 +153,6 @@ func TestIntegration(t *testing.T) {
 }
 
 func TestMain(m *testing.M) {
-	if os.Getenv("AAD_SKIP_INTEGRATION_TESTS") != "" {
-		fmt.Println("Integration tests skipped as requested")
-		return
-	}
-
 	// Build the NSS library and executable in a temporary directory and allow linking to it.
 	tmpDir, cleanup, err := createTempDir()
 	if err != nil {
@@ -165,7 +160,7 @@ func TestMain(m *testing.M) {
 	}
 	defer cleanup()
 
-	libPath = filepath.Join(tmpDir, "libnss_aad.so.2")
+	targetDir, libPath = tmpDir, filepath.Join(tmpDir, "libnss_aad.so.2")
 	// Builds the NSS Library.
 	if err = buildRustNSSLib(); err != nil {
 		cleanup()