diff --git a/gunicorn/workers/base_async.py b/gunicorn/workers/base_async.py
index b059a7cb..6a79d7ed 100644
--- a/gunicorn/workers/base_async.py
+++ b/gunicorn/workers/base_async.py
@@ -82,7 +82,7 @@ class AsyncWorker(base.Worker):
                     self.log.debug("Ignoring socket not connected")
                 else:
                     self.log.debug("Ignoring EPIPE")
-        except Exception as e:
+        except BaseException as e:
             self.handle_error(req, client, addr, e)
         finally:
             util.close(client)
diff --git a/gunicorn/workers/sync.py b/gunicorn/workers/sync.py
index 39a209f0..ddcd7727 100644
--- a/gunicorn/workers/sync.py
+++ b/gunicorn/workers/sync.py
@@ -154,7 +154,7 @@ class SyncWorker(base.Worker):
                     self.log.debug("Ignoring socket not connected")
                 else:
                     self.log.debug("Ignoring EPIPE")
-        except Exception as e:
+        except BaseException as e:
             self.handle_error(req, client, addr, e)
         finally:
             util.close(client)