diff --git a/reframe/frontend/executors/policies.py b/reframe/frontend/executors/policies.py
index 9feafbcf1b..deec7b9fe1 100644
--- a/reframe/frontend/executors/policies.py
+++ b/reframe/frontend/executors/policies.py
@@ -290,7 +290,9 @@ def runcase(self, case):
                 self.printer.status('HOLD', task.check.info(), just='right')
         except TaskExit:
             if not task.failed:
-                self._reschedule(task)
+                with contextlib.suppress(TaskExit):
+                    self._reschedule(task)
+
             return
         except ABORT_REASONS as e:
             if not task.failed:
@@ -409,7 +411,8 @@ def exit(self):
                     time.sleep(t)
 
             except TaskExit:
-                self._reschedule_all()
+                with contextlib.suppress(TaskExit):
+                    self._reschedule_all()
             except ABORT_REASONS as e:
                 self._failall(e)
                 raise
diff --git a/unittests/resources/checks/frontend_checks.py b/unittests/resources/checks/frontend_checks.py
index 1e7b77d2c2..3922dd0053 100644
--- a/unittests/resources/checks/frontend_checks.py
+++ b/unittests/resources/checks/frontend_checks.py
@@ -220,3 +220,13 @@ def run(self):
         super().run()
         time.sleep(0.5)
         os.kill(os.getpid(), signal.SIGTERM)
+
+
+class CompileFailureCheck(rfm.RegressionTest):
+    def __init__(self):
+        self.valid_systems = ['*']
+        self.valid_prog_environs = ['*']
+        self.sanity_patterns = sn.assert_found(r'hello', self.stdout)
+        self.sourcesdir = None
+        self.sourcepath = 'x.c'
+        self.prebuild_cmd = ['echo foo > x.c']
diff --git a/unittests/test_policies.py b/unittests/test_policies.py
index 9093183a3f..770ca21016 100644
--- a/unittests/test_policies.py
+++ b/unittests/test_policies.py
@@ -21,6 +21,7 @@
 from unittests.resources.checks.frontend_checks import (
     BadSetupCheck,
     BadSetupCheckEarly,
+    CompileFailureCheck,
     KeyboardInterruptCheck,
     RetriesCheck,
     SelfKillCheck,
@@ -557,8 +558,8 @@ def test_kbd_interrupt_in_setup_with_limited_concurrency(
     assert_interrupted_run(runner)
 
 
-def test_poll_fails_in_main_loop(async_runner, make_cases,
-                                 make_async_exec_ctx):
+def test_poll_fails_main_loop(async_runner, make_cases,
+                              make_async_exec_ctx):
     ctx = make_async_exec_ctx(1)
     next(ctx)
 
@@ -573,8 +574,8 @@ def test_poll_fails_in_main_loop(async_runner, make_cases,
     assert num_checks == len(stats.failures())
 
 
-def test_poll_fails_in_busy_loop(async_runner, make_cases,
-                                 make_async_exec_ctx):
+def test_poll_fails_busy_loop(async_runner, make_cases,
+                              make_async_exec_ctx):
     ctx = make_async_exec_ctx(1)
     next(ctx)
 
@@ -587,3 +588,34 @@ def test_poll_fails_in_busy_loop(async_runner, make_cases,
     assert num_checks == stats.num_cases()
     assert_runall(runner)
     assert num_checks == len(stats.failures())
+
+
+def test_compile_fail_reschedule_main_loop(async_runner, make_cases,
+                                           make_async_exec_ctx):
+    ctx = make_async_exec_ctx(1)
+    next(ctx)
+
+    runner, _ = async_runner
+    num_checks = 2
+    runner.runall(make_cases([SleepCheckPollFail(.1), CompileFailureCheck()]))
+
+    stats = runner.stats
+    assert num_checks == stats.num_cases()
+    assert_runall(runner)
+    assert num_checks == len(stats.failures())
+
+
+def test_compile_fail_reschedule_busy_loop(async_runner, make_cases,
+                                           make_async_exec_ctx):
+    ctx = make_async_exec_ctx(1)
+    next(ctx)
+
+    runner, _ = async_runner
+    num_checks = 2
+    runner.runall(
+        make_cases([SleepCheckPollFailLate(1.5), CompileFailureCheck()])
+    )
+    stats = runner.stats
+    assert num_checks == stats.num_cases()
+    assert_runall(runner)
+    assert num_checks == len(stats.failures())