diff --git a/.travis.yml b/.travis.yml
index f2a4fdd9..ad3750c3 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -14,7 +14,7 @@ matrix:
         - git checkout $TRAVIS_BRANCH
         - git reset --hard $COMMIT
       script:
-        - travis_wait 60 docker run -e CI=true -e PQCLEAN_ONLY_TYPES -e PQCLEAN_ONLY_DIFF --rm -v ~/.ccache:/ccache -v `pwd`:`pwd` -w `pwd` "pqclean/ci-container:arm64" /bin/bash -c "
+        - travis_wait 60 docker run -e CI=true -e PQCLEAN_SKIP_TESTS -e PQCLEAN_ONLY_TYPES -e PQCLEAN_ONLY_DIFF --rm -v ~/.ccache:/ccache -v `pwd`:`pwd` -w `pwd` "pqclean/ci-container:arm64" /bin/bash -c "
           uname -a &&
           export CCACHE_DIR=/ccache &&
           export CCACHE_NOSTATS=1 &&
@@ -26,6 +26,7 @@ matrix:
       env:
         PQCLEAN_ONLY_TYPES: kem
         PQCLEAN_ONLY_DIFF: 1
+        PQCLEAN_SKIP_TESTS: valgrind,sanitizer
       services:
         - docker
     - name: "KEMs: ARM64 + Clang"
@@ -39,7 +40,7 @@ matrix:
         - git checkout $TRAVIS_BRANCH
         - git reset --hard $COMMIT
       script:
-        - travis_wait 60 docker run -e CI=true -e PQCLEAN_ONLY_TYPES -e PQCLEAN_ONLY_DIFF --rm -v ~/.ccache:/ccache -v `pwd`:`pwd` -w `pwd` "pqclean/ci-container:arm64" /bin/bash -c "
+        - travis_wait 60 docker run -e CI=true -e PQCLEAN_SKIP_TESTS -e PQCLEAN_ONLY_TYPES -e PQCLEAN_ONLY_DIFF --rm -v ~/.ccache:/ccache -v `pwd`:`pwd` -w `pwd` "pqclean/ci-container:arm64" /bin/bash -c "
           uname -a &&
           export CCACHE_NOSTATS=1 &&
           export CCACHE_DIR=/ccache &&
@@ -51,6 +52,7 @@ matrix:
       env:
         PQCLEAN_ONLY_TYPES: kem
         PQCLEAN_ONLY_DIFF: 1
+        PQCLEAN_SKIP_TESTS: valgrind,sanitizer
       services:
         - docker
     - name: "Signs: ARM64 + GCC"
@@ -64,7 +66,7 @@ matrix:
         - git checkout $TRAVIS_BRANCH
         - git reset --hard $COMMIT
       script:
-        - travis_wait 60 docker run -e CI=true -e PQCLEAN_ONLY_TYPES -e PQCLEAN_ONLY_DIFF -e PQCLEAN_SKIP_SCHEMES --rm -v ~/.ccache:/ccache -v `pwd`:`pwd` -w `pwd` "pqclean/ci-container:arm64" /bin/bash -c "
+        - travis_wait 60 docker run -e CI=true -e PQCLEAN_SKIP_TESTS -e PQCLEAN_ONLY_TYPES -e PQCLEAN_ONLY_DIFF -e PQCLEAN_SKIP_SCHEMES --rm -v ~/.ccache:/ccache -v `pwd`:`pwd` -w `pwd` "pqclean/ci-container:arm64" /bin/bash -c "
           uname -a &&
           export CCACHE_NOSTATS=1 &&
           export CCACHE_DIR=/ccache &&
@@ -77,6 +79,7 @@ matrix:
         PQCLEAN_ONLY_TYPES: sign
         PQCLEAN_ONLY_DIFF: 1
         PQCLEAN_SKIP_SCHEMES: sphincs-haraka-128f-robust,sphincs-haraka-192s-robust,sphincs-sha256-128f-robust,sphincs-sha256-192s-robust,sphincs-shake256-128f-robust,sphincs-shake256-192s-robust,sphincs-haraka-128f-simple,sphincs-haraka-192s-simple,sphincs-sha256-128f-simple,sphincs-sha256-192s-simple,sphincs-shake256-128f-simple,sphincs-shake256-192s-simple,sphincs-haraka-128s-robust,sphincs-haraka-256f-robust,sphincs-sha256-128s-robust,sphincs-sha256-256f-robust,sphincs-shake256-128s-robust,sphincs-shake256-256f-robust,sphincs-haraka-128s-simple,sphincs-haraka-256f-simple,sphincs-sha256-128s-simple,sphincs-sha256-256f-simple,sphincs-shake256-128s-simple,sphincs-shake256-256f-simple,sphincs-haraka-192f-robust,sphincs-haraka-256s-robust,sphincs-sha256-192f-robust,sphincs-sha256-256s-robust,sphincs-shake256-192f-robust,sphincs-shake256-256s-robust,sphincs-haraka-192f-simple,sphincs-haraka-256s-simple,sphincs-sha256-192f-simple,sphincs-sha256-256s-simple,sphincs-shake256-192f-simple,sphincs-shake256-256s-simple
+        PQCLEAN_SKIP_TESTS: valgrind,sanitizer
       services:
         - docker
     - name: "signs: ARM64 + Clang"
@@ -90,7 +93,7 @@ matrix:
         - git checkout $TRAVIS_BRANCH
         - git reset --hard $COMMIT
       script:
-        - travis_wait 60 docker run -e CI=true -e PQCLEAN_ONLY_TYPES -e PQCLEAN_ONLY_DIFF=1 -e PQCLEAN_SKIP_SCHEMES --rm -v ~/.ccache:/ccache -v `pwd`:`pwd` -w `pwd` "pqclean/ci-container:arm64" /bin/bash -c "
+        - travis_wait 60 docker run -e CI=true -e PQCLEAN_SKIP_TESTS -e PQCLEAN_ONLY_TYPES -e PQCLEAN_ONLY_DIFF=1 -e PQCLEAN_SKIP_SCHEMES --rm -v ~/.ccache:/ccache -v `pwd`:`pwd` -w `pwd` "pqclean/ci-container:arm64" /bin/bash -c "
           uname -a &&
           export CCACHE_NOSTATS=1 &&
           export CCACHE_DIR=/ccache &&
@@ -103,6 +106,7 @@ matrix:
         PQCLEAN_ONLY_TYPES: sign
         PQCLEAN_ONLY_DIFF: 1
         PQCLEAN_SKIP_SCHEMES: sphincs-haraka-128f-robust,sphincs-haraka-192s-robust,sphincs-sha256-128f-robust,sphincs-sha256-192s-robust,sphincs-shake256-128f-robust,sphincs-shake256-192s-robust,sphincs-haraka-128f-simple,sphincs-haraka-192s-simple,sphincs-sha256-128f-simple,sphincs-sha256-192s-simple,sphincs-shake256-128f-simple,sphincs-shake256-192s-simple,sphincs-haraka-128s-robust,sphincs-haraka-256f-robust,sphincs-sha256-128s-robust,sphincs-sha256-256f-robust,sphincs-shake256-128s-robust,sphincs-shake256-256f-robust,sphincs-haraka-128s-simple,sphincs-haraka-256f-simple,sphincs-sha256-128s-simple,sphincs-sha256-256f-simple,sphincs-shake256-128s-simple,sphincs-shake256-256f-simple,sphincs-haraka-192f-robust,sphincs-haraka-256s-robust,sphincs-sha256-192f-robust,sphincs-sha256-256s-robust,sphincs-shake256-192f-robust,sphincs-shake256-256s-robust,sphincs-haraka-192f-simple,sphincs-haraka-256s-simple,sphincs-sha256-192f-simple,sphincs-sha256-256s-simple,sphincs-shake256-192f-simple,sphincs-shake256-256s-simple
+        PQCLEAN_SKIP_TESTS: valgrind,sanitizer
       services:
         - docker
 
diff --git a/test/helpers.py b/test/helpers.py
index 5eee1d29..db1c839d 100644
--- a/test/helpers.py
+++ b/test/helpers.py
@@ -156,16 +156,6 @@ def skip_windows(message="This test is not supported on Windows"):
     return wrapper
 
 
-def slow_test(f):
-    @functools.wraps(f)
-    def wrapper(*args, **kwargs):
-        if ('CI' in os.environ and 'RUN_SLOW' not in os.environ and
-                os.environ.get('TRAVIS_EVENT_TYPE') != 'cron'):
-            raise unittest.SkipTest("Slow test skipped on CI run")
-        return f(*args, **kwargs)
-    return wrapper
-
-
 @lru_cache(maxsize=None)
 def ensure_available(executable):
     """
diff --git a/test/test_functest.py b/test/test_functest.py
index 53171217..c9a9db4b 100644
--- a/test/test_functest.py
+++ b/test/test_functest.py
@@ -50,12 +50,16 @@ def test_functest(implementation, impl_path, test_dir,
 )
 @helpers.skip_windows()
 @helpers.filtered_test
-@helpers.slow_test
 def test_functest_sanitizers(implementation, impl_path, test_dir,
                              init, destr):
     dest_dir = os.path.join(test_dir, 'bin')
     env = None
-    if platform.machine() == 'ppc' and os.environ.get('CC', 'gcc') == 'clang':
+    if (implementation.scheme.name == "sphincs-sha256-192s-robust"
+            and 'CI' in os.environ
+            and implementation.name == "clean"
+            and 'clang' in os.environ.get('CC', '')):
+        raise unittest.SkipTest("Clang makes this test use too much RAM")
+    if platform.machine() == 'ppc' and 'clang' in os.environ.get('CC', 'gcc'):
         raise unittest.SkipTest("Clang does not support ASAN on ppc")
     elif platform.machine() in ['armv7l', 'aarch64']:
         env = {'ASAN_OPTIONS': 'detect_leaks=0'}
diff --git a/test/test_valgrind.py b/test/test_valgrind.py
index 32715b41..061758be 100644
--- a/test/test_valgrind.py
+++ b/test/test_valgrind.py
@@ -30,7 +30,6 @@ def valgrind_supports_exit_early():
      for impl in pqclean.Scheme.all_supported_implementations()],
     ids=[str(impl) for impl in pqclean.Scheme.all_supported_implementations()],
 )
-@helpers.slow_test
 @helpers.filtered_test
 def test_valgrind(implementation: pqclean.Implementation, impl_path, test_dir,
                   init, destr):