diff --git a/ChangeLog.txt b/ChangeLog.txt
index e077f23b..e0b00e65 100644
--- a/ChangeLog.txt
+++ b/ChangeLog.txt
@@ -15,6 +15,8 @@ v2.0.0 - 2023-xx-xx
   - MQTTMessage field "dup" and "retain" used to be integer with value 0 and 1. They are now boolean.
 - Add on_pre_connect() callback, which is called immediately before a
   connection attempt is made.
+- Correctly mark connection as broken on SSL error and don't crash loop_forever.
+  Closes #750.
 
 
 v1.6.1 - 2021-10-21
diff --git a/src/paho/mqtt/client.py b/src/paho/mqtt/client.py
index e5a0811d..b22c173b 100644
--- a/src/paho/mqtt/client.py
+++ b/src/paho/mqtt/client.py
@@ -239,7 +239,7 @@ class _OutPacket(TypedDict):
 _socket = socket
 
 
-class WebsocketConnectionError(ValueError):
+class WebsocketConnectionError(ConnectionError):
     pass
 
 
@@ -1896,7 +1896,7 @@ def loop_forever(
             if self._state == mqtt_cs_connect_async:
                 try:
                     self.reconnect()
-                except (OSError, WebsocketConnectionError):
+                except OSError:
                     self._handle_on_connect_fail()
                     if not retry_first_connection:
                         raise
@@ -1937,7 +1937,7 @@ def should_exit() -> bool:
                 else:
                     try:
                         self.reconnect()
-                    except (OSError, WebsocketConnectionError):
+                    except OSError:
                         self._handle_on_connect_fail()
                         self._easy_log(
                             MQTT_LOG_DEBUG, "Connection failed, retrying")
@@ -2601,14 +2601,14 @@ def _packet_read(self) -> MQTTErrorCode:
                 command = self._sock_recv(1)
             except BlockingIOError:
                 return MQTTErrorCode.MQTT_ERR_AGAIN
-            except ConnectionError as err:
-                self._easy_log(
-                    MQTT_LOG_ERR, 'failed to receive on socket: %s', err)
-                return MQTTErrorCode.MQTT_ERR_CONN_LOST
             except TimeoutError as err:
                 self._easy_log(
                     MQTT_LOG_ERR, 'timeout on socket: %s', err)
                 return MQTTErrorCode.MQTT_ERR_CONN_LOST
+            except OSError as err:
+                self._easy_log(
+                    MQTT_LOG_ERR, 'failed to receive on socket: %s', err)
+                return MQTTErrorCode.MQTT_ERR_CONN_LOST
             else:
                 if len(command) == 0:
                     return MQTTErrorCode.MQTT_ERR_CONN_LOST
@@ -2623,7 +2623,7 @@ def _packet_read(self) -> MQTTErrorCode:
                     byte = self._sock_recv(1)
                 except BlockingIOError:
                     return MQTTErrorCode.MQTT_ERR_AGAIN
-                except ConnectionError as err:
+                except OSError as err:
                     self._easy_log(
                         MQTT_LOG_ERR, 'failed to receive on socket: %s', err)
                     return MQTTErrorCode.MQTT_ERR_CONN_LOST
@@ -2653,7 +2653,7 @@ def _packet_read(self) -> MQTTErrorCode:
                 data = self._sock_recv(self._in_packet['to_process'])
             except BlockingIOError:
                 return MQTTErrorCode.MQTT_ERR_AGAIN
-            except ConnectionError as err:
+            except OSError as err:
                 self._easy_log(
                     MQTT_LOG_ERR, 'failed to receive on socket: %s', err)
                 return MQTTErrorCode.MQTT_ERR_CONN_LOST
@@ -2704,7 +2704,7 @@ def _packet_write(self) -> MQTTErrorCode:
             except BlockingIOError:
                 self._out_packet.appendleft(packet)
                 return MQTTErrorCode.MQTT_ERR_AGAIN
-            except ConnectionError as err:
+            except OSError as err:
                 self._out_packet.appendleft(packet)
                 self._easy_log(
                     MQTT_LOG_ERR, 'failed to receive on socket: %s', err)
@@ -4296,7 +4296,7 @@ def _recv_impl(self, length: int) -> bytes:
             else:
                 raise BlockingIOError
 
-        except ConnectionError:
+        except OSError:
             self.connected = False
             return b''