diff --git a/docs/Parameters.rst b/docs/Parameters.rst
index 678b7e95d66b..54fc66b2361a 100644
--- a/docs/Parameters.rst
+++ b/docs/Parameters.rst
@@ -1137,7 +1137,7 @@ Network Parameters
 
    -  this parameter is needed to be set in both **socket** and **mpi** versions
 
--  ``local_listen_port`` :raw-html:`<a id="local_listen_port" title="Permalink to this parameter" href="#local_listen_port">&#x1F517;&#xFE0E;</a>`, default = ``12400``, type = int, aliases: ``local_port``, ``port``, constraints: ``local_listen_port > 0``
+-  ``local_listen_port`` :raw-html:`<a id="local_listen_port" title="Permalink to this parameter" href="#local_listen_port">&#x1F517;&#xFE0E;</a>`, default = ``12400 (random for Dask-package)``, type = int, aliases: ``local_port``, ``port``, constraints: ``local_listen_port > 0``
 
    -  TCP listen port for local machines
 
diff --git a/include/LightGBM/config.h b/include/LightGBM/config.h
index b3b46b05656b..977c96af42f1 100644
--- a/include/LightGBM/config.h
+++ b/include/LightGBM/config.h
@@ -966,6 +966,7 @@ struct Config {
   int num_machines = 1;
 
   // check = >0
+  // default = 12400 (random for Dask-package)
   // alias = local_port, port
   // desc = TCP listen port for local machines
   // desc = **Note**: don't forget to allow this port in firewall settings before training
diff --git a/python-package/lightgbm/dask.py b/python-package/lightgbm/dask.py
index 4404d3e0c357..6d3f008bc9e8 100644
--- a/python-package/lightgbm/dask.py
+++ b/python-package/lightgbm/dask.py
@@ -556,16 +556,6 @@ def _predict(
         raise TypeError('Data must be either Dask Array or Dask DataFrame. Got %s.' % str(type(data)))
 
 
-# relying on the default port being 12400 in a firewall-constrained environment will
-# not work because by default the Dask interface searches for ports randomly to reduce the overhead of network setup
-_dasklgbmmodel_doc_network_params_warning = (
-    ' ' * 4 + '.. warning::\n'
-    + '\n'
-    + ' ' * 16 + 'If communication between the workers in your Dask cluster is constrained by firewall rules, set ``machines`` or ``local_listen_port`` explicitly. \n'
-    + ' ' * 16 + 'If these are missing, LightGBM will use random open ports for communication between workers.\n'
-)
-
-
 class _DaskLGBMModel:
 
     @property
@@ -708,9 +698,7 @@ def __init__(
 
     # the note on custom objective functions in LGBMModel.__init__ is not
     # currently relevant for the Dask estimators
-    _base_doc = _base_doc[:_base_doc.find('Note\n')]
-
-    __init__.__doc__ = _base_doc + _dasklgbmmodel_doc_network_params_warning
+    __init__.__doc__ = _base_doc[:_base_doc.find('Note\n')]
 
     def __getstate__(self) -> Dict[Any, Any]:
         return self._lgb_getstate()
@@ -861,9 +849,7 @@ def __init__(
 
     # the note on custom objective functions in LGBMModel.__init__ is not
     # currently relevant for the Dask estimators
-    _base_doc = _base_doc[:_base_doc.find('Note\n')]
-
-    __init__.__doc__ = _base_doc + _dasklgbmmodel_doc_network_params_warning
+    __init__.__doc__ = _base_doc[:_base_doc.find('Note\n')]
 
     def __getstate__(self) -> Dict[Any, Any]:
         return self._lgb_getstate()
@@ -995,9 +981,7 @@ def __init__(
 
     # the note on custom objective functions in LGBMModel.__init__ is not
     # currently relevant for the Dask estimators
-    _base_doc = _base_doc[:_base_doc.find('Note\n')]
-
-    __init__.__doc__ = _base_doc + _dasklgbmmodel_doc_network_params_warning
+    __init__.__doc__ = _base_doc[:_base_doc.find('Note\n')]
 
     def __getstate__(self) -> Dict[Any, Any]:
         return self._lgb_getstate()