diff --git a/src/test/test-acl-util.c b/src/test/test-acl-util.c
index 331faf1e4b..3cb106a93f 100644
--- a/src/test/test-acl-util.c
+++ b/src/test/test-acl-util.c
@@ -10,6 +10,7 @@
 #include "fd-util.h"
 #include "format-util.h"
 #include "fs-util.h"
+#include "path-util.h"
 #include "string-util.h"
 #include "tests.h"
 #include "tmpfile-util.h"
@@ -22,6 +23,12 @@ TEST_RET(add_acls_for_user) {
         uid_t uid;
         int r;
 
+        FOREACH_STRING(s, "capsh", "getfacl", "ls") {
+                r = find_executable(s, NULL);
+                if (r < 0)
+                        return log_tests_skipped_errno(r, "Could not find %s binary: %m", s);
+        }
+
         fd = mkostemp_safe(fn);
         assert_se(fd >= 0);
 
@@ -69,11 +76,18 @@ TEST_RET(add_acls_for_user) {
         return 0;
 }
 
-TEST(fd_acl_make_read_only) {
+TEST_RET(fd_acl_make_read_only) {
         _cleanup_(unlink_tempfilep) char fn[] = "/tmp/test-empty.XXXXXX";
         _cleanup_close_ int fd = -EBADF;
         const char *cmd;
         struct stat st;
+        int r;
+
+        FOREACH_STRING(s, "capsh", "getfacl", "ls", "stat") {
+                r = find_executable(s, NULL);
+                if (r < 0)
+                        return log_tests_skipped_errno(r, "Could not find %s binary: %m", s);
+        }
 
         fd = mkostemp_safe(fn);
         assert_se(fd >= 0);
@@ -125,6 +139,8 @@ TEST(fd_acl_make_read_only) {
 
         cmd = strjoina("stat ", fn);
         assert_se(system(cmd) == 0);
+
+        return 0;
 }
 
 DEFINE_TEST_MAIN(LOG_INFO);
diff --git a/src/test/test-copy.c b/src/test/test-copy.c
index 111c001de6..ea5d67ff48 100644
--- a/src/test/test-copy.c
+++ b/src/test/test-copy.c
@@ -290,7 +290,7 @@ TEST(copy_tree_at_symlink) {
         fd = safe_close(fd);
 }
 
-TEST(copy_bytes) {
+TEST_RET(copy_bytes) {
         _cleanup_close_pair_ int pipefd[2] = EBADF_PAIR;
         _cleanup_close_ int infd = -EBADF;
         int r, r2;
@@ -299,7 +299,8 @@ TEST(copy_bytes) {
         infd = open("/usr/lib/os-release", O_RDONLY|O_CLOEXEC);
         if (infd < 0)
                 infd = open("/etc/os-release", O_RDONLY|O_CLOEXEC);
-        assert_se(infd >= 0);
+        if (infd < 0)
+                return log_tests_skipped_errno(errno, "Could not open /usr/lib/os-release or /etc/os-release: %m");
 
         assert_se(pipe2(pipefd, O_CLOEXEC) == 0);
 
@@ -324,6 +325,8 @@ TEST(copy_bytes) {
 
         r = copy_bytes(pipefd[1], infd, 1, 0);
         assert_se(r == -EBADF);
+
+        return 0;
 }
 
 static void test_copy_bytes_regular_file_one(const char *src, bool try_reflink, uint64_t max_bytes) {
diff --git a/src/test/test-date.c b/src/test/test-date.c
index 162ac342f5..2b96983e2c 100644
--- a/src/test/test-date.c
+++ b/src/test/test-date.c
@@ -83,9 +83,11 @@ int main(int argc, char *argv[]) {
         test_one("today");
         test_one("tomorrow");
         test_one_noutc("16:20 UTC");
-        test_one_noutc("16:20 Asia/Seoul");
-        test_one_noutc("tomorrow Asia/Seoul");
-        test_one_noutc("2012-12-30 18:42 Asia/Seoul");
+        if (access("/usr/share/zoneinfo/Asia/Seoul", F_OK) >= 0) {
+                test_one_noutc("16:20 Asia/Seoul");
+                test_one_noutc("tomorrow Asia/Seoul");
+                test_one_noutc("2012-12-30 18:42 Asia/Seoul");
+        }
         test_one_noutc("now");
         test_one_noutc("+2d");
         test_one_noutc("+2y 4d");
@@ -96,9 +98,11 @@ int main(int argc, char *argv[]) {
         test_should_fail("1969-12-31 UTC");
         test_should_fail("-1000y");
         test_should_fail("today UTC UTC");
-        test_should_fail("now Asia/Seoul");
-        test_should_fail("+2d Asia/Seoul");
-        test_should_fail("@1395716396 Asia/Seoul");
+        if (access("/usr/share/zoneinfo/Asia/Seoul", F_OK) >= 0) {
+                test_should_fail("now Asia/Seoul");
+                test_should_fail("+2d Asia/Seoul");
+                test_should_fail("@1395716396 Asia/Seoul");
+        }
 #if SIZEOF_TIME_T == 8
         test_should_pass("9999-12-30 23:59:59 UTC");
         test_should_fail("9999-12-31 00:00:00 UTC");
diff --git a/src/test/test-os-util.c b/src/test/test-os-util.c
index e51ab9d290..e683842170 100644
--- a/src/test/test-os-util.c
+++ b/src/test/test-os-util.c
@@ -20,10 +20,12 @@ TEST(path_is_os_tree) {
 }
 
 TEST(parse_os_release) {
-        /* Let's assume that we're running in a valid system, so os-release is available */
         _cleanup_free_ char *id = NULL, *id2 = NULL, *name = NULL, *foobar = NULL;
-        ASSERT_EQ(parse_os_release(NULL, "ID", &id), 0);
-        log_info("ID: %s", id);
+
+        if (access("/etc/os-release", F_OK) >= 0 || access("/usr/lib/os-release", F_OK) >= 0) {
+                ASSERT_EQ(parse_os_release(NULL, "ID", &id), 0);
+                log_info("ID: %s", id);
+        }
 
         ASSERT_EQ(setenv("SYSTEMD_OS_RELEASE", "/dev/null", 1), 0);
         ASSERT_EQ(parse_os_release(NULL, "ID", &id2), 0);
diff --git a/src/test/test-specifier.c b/src/test/test-specifier.c
index d6a8b79aa4..e50d450436 100644
--- a/src/test/test-specifier.c
+++ b/src/test/test-specifier.c
@@ -138,6 +138,8 @@ TEST(specifiers) {
                 xsprintf(spec, "%%%c", s->specifier);
 
                 r = specifier_printf(spec, SIZE_MAX, specifier_table, NULL, NULL, &resolved);
+                if (s->specifier == 'A' && r == -EUNATCH) /* os-release might be missing in build chroots */
+                        continue;
                 if (s->specifier == 'm' && IN_SET(r, -EUNATCH, -ENOMEDIUM, -ENOPKG)) /* machine-id might be missing in build chroots */
                         continue;
                 assert_se(r >= 0);