diff --git a/tests/by-util/test_cat.rs b/tests/by-util/test_cat.rs
index 1011b3f37..ee89f1639 100644
--- a/tests/by-util/test_cat.rs
+++ b/tests/by-util/test_cat.rs
@@ -98,7 +98,9 @@ fn test_fifo_symlink() {
 }
 
 #[test]
-#[cfg(any(target_os = "linux", target_os = "android"))]
+// TODO(#7542): Re-enable on Android once we figure out why setting limit is broken.
+// #[cfg(any(target_os = "linux", target_os = "android"))]
+#[cfg(target_os = "linux")]
 fn test_closes_file_descriptors() {
     // Each file creates a pipe, which has two file descriptors.
     // If they are not closed then five is certainly too many.
diff --git a/tests/by-util/test_env.rs b/tests/by-util/test_env.rs
index 4a7ea96c0..1b8974a90 100644
--- a/tests/by-util/test_env.rs
+++ b/tests/by-util/test_env.rs
@@ -81,11 +81,13 @@ fn test_env_version() {
 }
 
 #[test]
+#[cfg(unix)]
 fn test_env_permissions() {
+    // Try to execute `empty` in test fixture, that does not have exec permission.
     new_ucmd!()
-        .arg(".")
+        .arg("./empty")
         .fails_with_code(126)
-        .stderr_is("env: '.': Permission denied\n");
+        .stderr_is("env: './empty': Permission denied\n");
 }
 
 #[test]
diff --git a/tests/by-util/test_sort.rs b/tests/by-util/test_sort.rs
index 213c567e4..5e13369ca 100644
--- a/tests/by-util/test_sort.rs
+++ b/tests/by-util/test_sort.rs
@@ -1090,7 +1090,9 @@ fn test_merge_batch_size() {
 }
 
 #[test]
-#[cfg(any(target_os = "linux", target_os = "android"))]
+// TODO(#7542): Re-enable on Android once we figure out why setting limit is broken.
+// #[cfg(any(target_os = "linux", target_os = "android"))]
+#[cfg(target_os = "linux")]
 fn test_merge_batch_size_with_limit() {
     use rlimit::Resource;
     // Currently need...
diff --git a/tests/by-util/test_split.rs b/tests/by-util/test_split.rs
index 5c2eb4c8c..c21299eaa 100644
--- a/tests/by-util/test_split.rs
+++ b/tests/by-util/test_split.rs
@@ -1627,7 +1627,9 @@ fn test_round_robin() {
 }
 
 #[test]
-#[cfg(any(target_os = "linux", target_os = "android"))]
+// TODO(#7542): Re-enable on Android once we figure out why rlimit is broken.
+// #[cfg(any(target_os = "linux", target_os = "android"))]
+#[cfg(target_os = "linux")]
 fn test_round_robin_limited_file_descriptors() {
     new_ucmd!()
         .args(&["-n", "r/40", "onehundredlines.txt"])
diff --git a/tests/common/util.rs b/tests/common/util.rs
index 79b3a5de1..1a4717170 100644
--- a/tests/common/util.rs
+++ b/tests/common/util.rs
@@ -1215,6 +1215,17 @@ impl TestScenario {
         command
     }
 
+    /// Returns builder for invoking a command in shell (e.g. sh -c 'cmd').
+    /// Paths given are treated relative to the environment's unique temporary
+    /// test directory.
+    pub fn cmd_shell<S: AsRef<OsStr>>(&self, cmd: S) -> UCommand {
+        let mut command = UCommand::new();
+        // Intentionally leave bin_path unset.
+        command.arg(cmd);
+        command.temp_dir(self.tmpd.clone());
+        command
+    }
+
     /// Returns builder for invoking any uutils command. Paths given are treated
     /// relative to the environment's unique temporary test directory.
     pub fn ccmd<S: AsRef<str>>(&self, util_name: S) -> UCommand {
@@ -4052,8 +4063,7 @@ mod tests {
         };
 
         let ts = TestScenario::new("util");
-        ts.cmd("sh")
-            .args(&["-c", "umask"])
+        ts.cmd_shell("umask")
             .umask(c_umask)
             .succeeds()
             .stdout_is(expected);
diff --git a/tests/fixtures/env/empty b/tests/fixtures/env/empty
new file mode 100644
index 000000000..e69de29bb