diff --git a/rsyslog/map.jinja b/rsyslog/map.jinja
index b5c7b8b..f7d38d4 100644
--- a/rsyslog/map.jinja
+++ b/rsyslog/map.jinja
@@ -157,5 +157,6 @@
 {%- set monitoring = salt['grains.filter_by']({
   'default': {
     'failed_auths_per_sec': 0.2,
+    'out_of_memory_errors_per_sec': 0.0011,
   },
 }, grain='os_family', merge=salt['pillar.get']('rsyslog:monitoring')) %}
diff --git a/rsyslog/meta/prometheus.yml b/rsyslog/meta/prometheus.yml
index 5740645..1564e6d 100644
--- a/rsyslog/meta/prometheus.yml
+++ b/rsyslog/meta/prometheus.yml
@@ -16,4 +16,15 @@
       annotations:
         summary: 'Too many failed SSH logins'
         description: 'The rate of failed logins is too high on node {{ $labels.host }} (current value={{ $value }}, threshold={%- endraw %}{{ threshold }}).'
+    OutOfMemoryTooHigh:
+      {%- set threshold = monitoring.out_of_memory_errors_per_sec|float %}
+      if: >-
+        rate(out_of_memory_total[5m]) > {{ threshold }}
+{%- raw %}
+      labels:
+        severity: warning
+        service: system
+      annotations:
+        summary: 'Too many out-of-memory errors'
+        description: 'The rate of out-of-memory errors is too high on node {{ $labels.host }} (current value={{ $value }}, threshold={%- endraw %}{{ threshold }}).'
 {%- endif %}