diff --git a/slack_sdk/socket_mode/builtin/client.py b/slack_sdk/socket_mode/builtin/client.py
index f0181b9b6..89463a767 100644
--- a/slack_sdk/socket_mode/builtin/client.py
+++ b/slack_sdk/socket_mode/builtin/client.py
@@ -247,10 +247,15 @@ def _on_message(self, message: str):
             listener(message)
 
     def _on_error(self, error: Exception):
-        self.logger.exception(
+        error_message = (
             f"on_error invoked (session id: {self.session_id()}, "
             f"error: {type(error).__name__}, message: {error})"
         )
+        if self.trace_enabled:
+            self.logger.exception(error_message)
+        else:
+            self.logger.error(error_message)
+
         for listener in self.on_error_listeners:
             listener(error)
 
@@ -281,10 +286,14 @@ def _run_current_session(self):
                     f" (session id: {session_id})"
                 )
             except Exception as e:
-                self.logger.exception(
+                error_message = (
                     "Failed to start or stop the current session"
                     f" (session id: {session_id}, error: {e})"
                 )
+                if self.trace_enabled:
+                    self.logger.exception(error_message)
+                else:
+                    self.logger.error(error_message)
 
     def _monitor_current_session(self):
         if self.current_app_monitor_started:
diff --git a/slack_sdk/socket_mode/builtin/connection.py b/slack_sdk/socket_mode/builtin/connection.py
index 92e2c93ff..d0c5ea303 100644
--- a/slack_sdk/socket_mode/builtin/connection.py
+++ b/slack_sdk/socket_mode/builtin/connection.py
@@ -167,9 +167,11 @@ def connect(self) -> None:
                 if e.args and len(e.args) > 1 and isinstance(e.args[0], int):
                     code = e.args[0]
                 if code is not None:
-                    self.logger.exception(
-                        f"Error code: {code} (session id: {self.session_id}, error: {e})"
-                    )
+                    error_message = f"Error code: {code} (session id: {self.session_id}, error: {e})"
+                    if self.trace_enabled:
+                        self.logger.exception(error_message)
+                    else:
+                        self.logger.error(error_message)
                 raise
 
         except Exception as e:
@@ -300,10 +302,15 @@ def check_state(self) -> None:
                 )
             self.consecutive_check_state_error_count = 0
         except Exception as e:
-            self.logger.exception(
+            error_message = (
                 "Failed to check the state of sock "
                 f"(session id: {self.session_id}, error: {type(e).__name__}, message: {e})"
             )
+            if self.trace_enabled:
+                self.logger.exception(error_message)
+            else:
+                self.logger.error(error_message)
+
             self.consecutive_check_state_error_count += 1
             if self.consecutive_check_state_error_count >= 5:
                 self.disconnect()
@@ -452,28 +459,41 @@ def run_until_completion(self, state: ConnectionState) -> None:
                     if self.on_error_listener is not None:
                         self.on_error_listener(e)
                     else:
-                        self.logger.exception(
+                        error_message = (
                             "Got an OSError while receiving data"
                             f" (session id: {self.session_id}, error: {e})"
                         )
+                        if self.trace_enabled:
+                            self.logger.exception(error_message)
+                        else:
+                            self.logger.error(error_message)
+
                 # As this connection no longer works in any way, terminating it
                 if self.is_active():
                     try:
                         self.disconnect()
                     except Exception as disconnection_error:
-                        self.logger.exception(
+                        error_message = (
                             "Failed to disconnect"
                             f" (session id: {self.session_id}, error: {disconnection_error})"
                         )
+                        if self.trace_enabled:
+                            self.logger.exception(error_message)
+                        else:
+                            self.logger.error(error_message)
                 state.terminated = True
                 break
             except Exception as e:
                 if self.on_error_listener is not None:
                     self.on_error_listener(e)
                 else:
-                    self.logger.exception(
+                    error_message = (
                         "Got an exception while receiving data"
                         f" (session id: {self.session_id}, error: {e})"
                     )
+                    if self.trace_enabled:
+                        self.logger.exception(error_message)
+                    else:
+                        self.logger.error(error_message)
 
         state.terminated = True