diff --git a/CHANGELOG.md b/CHANGELOG.md
index 6f3abbcc8d828..d797e40a1b9bf 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -33,6 +33,9 @@ The format is based on [Keep a Changelog](http://keepachangelog.com/en/1.0.0/).
 - Move lightning module to correct device type when using LightningDistributedWrapper ([#6070](https://github.com/PyTorchLightning/pytorch-lightning/pull/6070))
 
 
+- Do not print top-k verbose log with `ModelCheckpoint(monitor=None)` ([#6109](https://github.com/PyTorchLightning/pytorch-lightning/pull/6109))
+
+
 - Fixed error message for AMP + CPU incompatibility ([#6107](https://github.com/PyTorchLightning/pytorch-lightning/pull/6107))
 
 
diff --git a/pytorch_lightning/callbacks/model_checkpoint.py b/pytorch_lightning/callbacks/model_checkpoint.py
index 83d86b619c7c9..461c211baab12 100644
--- a/pytorch_lightning/callbacks/model_checkpoint.py
+++ b/pytorch_lightning/callbacks/model_checkpoint.py
@@ -564,7 +564,7 @@ def _save_top_k_checkpoints(self, trainer, pl_module, metrics):
 
         if self.check_monitor_top_k(current):
             self._update_best_and_save(current, epoch, step, trainer, pl_module, metrics)
-        elif self.verbose:
+        elif self.monitor is not None and self.verbose:
             rank_zero_info(f"Epoch {epoch:d}, step {step:d}: {self.monitor} was not in top {self.save_top_k}")
 
     def _is_valid_monitor_key(self, metrics):