diff --git a/src/test/test-condition.c b/src/test/test-condition.c
index 987862f1c62..66003aa6bd0 100644
--- a/src/test/test-condition.c
+++ b/src/test/test-condition.c
@@ -25,6 +25,7 @@
 #include "audit-util.h"
 #include "condition.h"
 #include "hostname-util.h"
+#include "id128-util.h"
 #include "ima-util.h"
 #include "log.h"
 #include "macro.h"
@@ -142,9 +143,14 @@ static void test_condition_test_host(void) {
         hostname = gethostname_malloc();
         assert_se(hostname);
 
-        condition = condition_new(CONDITION_HOST, hostname, false, false);
-        assert_se(condition_test(condition));
-        condition_free(condition);
+        /* if hostname looks like an id128 then skip testing it */
+        if (id128_is_valid(hostname))
+                log_notice("hostname is an id128, skipping test");
+        else {
+                condition = condition_new(CONDITION_HOST, hostname, false, false);
+                assert_se(condition_test(condition));
+                condition_free(condition);
+        }
 }
 
 static void test_condition_test_architecture(void) {
diff --git a/src/test/test-execute.c b/src/test/test-execute.c
index 77ef4e8b2ac..baf5b964871 100644
--- a/src/test/test-execute.c
+++ b/src/test/test-execute.c
@@ -33,6 +33,7 @@
 #include "test-helper.h"
 #include "unit.h"
 #include "util.h"
+#include "virt.h"
 
 typedef void (*test_function_t)(Manager *m);
 
@@ -111,6 +112,10 @@ static void test_exec_privatetmp(Manager *m) {
 }
 
 static void test_exec_privatedevices(Manager *m) {
+        if (detect_container() > 0) {
+                log_notice("testing in container, skipping private device tests");
+                return;
+        }
         test(m, "exec-privatedevices-yes.service", 0, CLD_EXITED);
         test(m, "exec-privatedevices-no.service", 0, CLD_EXITED);
 }
diff --git a/src/test/test-process-util.c b/src/test/test-process-util.c
index 562ad4acb85..9ada46b1e9e 100644
--- a/src/test/test-process-util.c
+++ b/src/test/test-process-util.c
@@ -40,6 +40,7 @@
 #include "stdio-util.h"
 #include "string-util.h"
 #include "terminal-util.h"
+#include "test-helper.h"
 #include "util.h"
 #include "virt.h"
 
@@ -357,7 +358,7 @@ int main(int argc, char *argv[]) {
                 (void) parse_pid(argv[1], &pid);
                 test_get_process_comm(pid);
         } else {
-                test_get_process_comm(1);
+                TEST_REQ_RUNNING_SYSTEMD(test_get_process_comm(1));
                 test_get_process_comm(getpid());
         }
 
diff --git a/test/udev-test.pl b/test/udev-test.pl
index da0a4e1f6b4..129af854f1f 100755
--- a/test/udev-test.pl
+++ b/test/udev-test.pl
@@ -1535,11 +1535,18 @@ if (!($<==0)) {
         exit($EXIT_TEST_SKIP);
 }
 
+# skip the test when running in a chroot
+system("systemd-detect-virt", "-r", "-q");
+if ($? >> 8 == 0) {
+        print "Running in a chroot, skipping the test.\n";
+        exit($EXIT_TEST_SKIP);
+}
+
 # skip the test when running in a container
 system("systemd-detect-virt", "-c", "-q");
 if ($? >> 8 == 0) {
-    print "Running in a container, skipping the test.\n";
-    exit($EXIT_TEST_SKIP);
+        print "Running in a container, skipping the test.\n";
+        exit($EXIT_TEST_SKIP);
 }
 
 udev_setup();