diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index eeadc75a..5bcce3b1 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -45,6 +45,7 @@ jobs:
           distro: ubuntu22.04
           run: |
             .github/workflows/generic-build.sh ${{ matrix.arch }}
+            .github/workflows/ci-run-tests.sh --no-ptrace
 
   build-osx:
     name: Build OSX executable (macos-latest)
diff --git a/tests/tools/libkcov/main.py b/tests/tools/libkcov/main.py
index 39408fd5..0eeedd41 100644
--- a/tests/tools/libkcov/main.py
+++ b/tests/tools/libkcov/main.py
@@ -90,7 +90,7 @@ def to_fnmatch(pattern):
     return pattern
 
 
-def addTests(config, patterns):
+def addTests(config, args, patterns):
     """Add all the kcov test modules.
 
     Discovery is not possible, since some modules need to be excluded,
@@ -100,20 +100,25 @@ def addTests(config, patterns):
     test_loader = TestLoader(config, patterns)
 
     test_loader.add_tests_from_module("test_basic")
-    test_loader.add_tests_from_module("test_compiled_basic")
+    if not args.no_ptrace:
+        test_loader.add_tests_from_module("test_compiled_basic")
 
     if platform.machine() in ["x86_64", "i386", "i686"]:
-        test_loader.add_tests_from_module("test_compiled")
+        if not args.no_ptrace:
+            test_loader.add_tests_from_module("test_compiled")
     if sys.platform.startswith("linux"):
         test_loader.add_tests_from_module("test_bash_linux_only")
 
         if platform.machine() in ["x86_64", "i386", "i686"]:
-            test_loader.add_tests_from_module("test_system_mode")
+            if not args.no_ptrace:
+                test_loader.add_tests_from_module("test_system_mode")
 
-    test_loader.add_tests_from_module("test_accumulate")
+    if not args.no_ptrace:
+        test_loader.add_tests_from_module("test_accumulate")
     test_loader.add_tests_from_module("test_bash")
     test_loader.add_tests_from_module("test_filter")
-    test_loader.add_tests_from_module("test_python")
+    if not args.no_ptrace:
+        test_loader.add_tests_from_module("test_python")
 
     return test_loader.tests
 
@@ -189,6 +194,14 @@ def parse_args():
         help="Randomize the execution order of tests",
     )
 
+    parser.add_argument(
+        "--no-ptrace",
+        dest="no_ptrace",
+        action="store_true",
+        help="Don't run tests which require ptrace",
+    )
+
+
     # TODO: The --duration argument was added in 3.12.
 
     # kcov test runner custom options
@@ -205,7 +218,7 @@ def main():
 
     # Loads and configure tests
     config = Config(args.kcov, args.outbase, args.binaries, args.sources)
-    tests = addTests(config, args.patterns)
+    tests = addTests(config, args, args.patterns)
 
     if args.shuffle:
         random.shuffle(tests)
diff --git a/tests/tools/test_bash.py b/tests/tools/test_bash.py
index 394f3fda..6a522ee8 100644
--- a/tests/tools/test_bash.py
+++ b/tests/tools/test_bash.py
@@ -419,6 +419,7 @@ def runTest(self):
 
 # Issue #224
 class bash_can_find_non_executed_scripts(libkcov.TestCase):
+    @unittest.skipUnless(platform.machine() in ["x86_64", "i686", "i386"], "Only for x86")
     def runTest(self):
         rv, o = self.do(
             self.kcov
@@ -436,6 +437,7 @@ def runTest(self):
 
 
 class bash_can_find_non_executed_scripts_manually(libkcov.TestCase):
+    @unittest.skipUnless(platform.machine() in ["x86_64", "i686", "i386"], "Only for x86")
     def runTest(self):
         rv, o = self.do(
             self.kcov
@@ -492,6 +494,7 @@ def runTest(self):
 
 
 class bash_drain_stdout_without_return(libkcov.TestCase):
+    @unittest.skipUnless(platform.machine() in ["x86_64", "i686", "i386"], "Only for x86")
     @unittest.skipIf(sys.platform.startswith("darwin"), "Not for OSX")
     def runTest(self):
         rv, o = self.do(
diff --git a/tests/tools/test_basic.py b/tests/tools/test_basic.py
index 064020aa..dbc2ef5e 100644
--- a/tests/tools/test_basic.py
+++ b/tests/tools/test_basic.py
@@ -33,15 +33,3 @@ def runTest(self):
         dom = cobertura.parseFile(self.outbase + "/kcov/main/cobertura.xml")
         assert cobertura.hitsPerLine(dom, "second.py", 34) == 2
         assert noKcovRv, rv
-
-
-# Issue #414
-class outdir_is_executable(libkcov.TestCase):
-    def runTest(self):
-        # Running a system executable on Linux may cause ptrace to fails with
-        # "Operation not permitted", even with ptrace_scope set to 0.
-        # See https://www.kernel.org/doc/Documentation/security/Yama.txt
-        executable = self.sources + "/tests/python/short-test.py"
-        rv, o = self.do(self.kcov + " echo " + executable)
-
-        assert rv == 0
diff --git a/tests/tools/test_compiled.py b/tests/tools/test_compiled.py
index 3006c349..b8ee7262 100644
--- a/tests/tools/test_compiled.py
+++ b/tests/tools/test_compiled.py
@@ -572,3 +572,15 @@ def runTest(self):
 
         assert cobertura.hitsPerLine(dom, "sanitizer-coverage.c", 22) == 0
         assert cobertura.hitsPerLine(dom, "sanitizer-coverage.c", 25) == 0
+
+
+# Issue #414
+class outdir_is_executable(libkcov.TestCase):
+    def runTest(self):
+        # Running a system executable on Linux may cause ptrace to fails with
+        # "Operation not permitted", even with ptrace_scope set to 0.
+        # See https://www.kernel.org/doc/Documentation/security/Yama.txt
+        executable = self.sources + "/tests/python/short-test.py"
+        rv, o = self.do(self.kcov + " echo " + executable)
+
+        assert rv == 0