diff --git a/dvc/lock.py b/dvc/lock.py
index 37fb7863c..3360001c0 100644
--- a/dvc/lock.py
+++ b/dvc/lock.py
@@ -176,25 +176,14 @@ class HardlinkLock(flufl.lock.Lock, LockBase):
         except flufl.lock.TimeOutError:
             raise LockError(FAILED_TO_LOCK_MESSAGE)
 
-    def _set_claimfile(self, pid=None):
-        super()._set_claimfile(pid)
+    def _set_claimfile(self):
+        super()._set_claimfile()
 
         if self._tmp_dir is not None:
             # Under Windows file path length is limited so we hash it
             filename = hashlib.md5(self._claimfile.encode()).hexdigest()
             self._claimfile = os.path.join(self._tmp_dir, filename + ".lock")
 
-    # Fix for __del__ bug in flufl.lock [1] which is causing errors on
-    # Python shutdown [2].
-    # [1] https://gitlab.com/warsaw/flufl.lock/issues/7
-    # [2] https://github.com/iterative/dvc/issues/2573
-    def __del__(self):
-        try:
-            if self._owned:
-                self.finalize()
-        except ImportError:
-            pass
-
 
 def make_lock(lockfile, tmp_dir=None, friendly=False, hardlink_lock=False):
     cls = HardlinkLock if hardlink_lock else Lock
diff --git a/setup.cfg b/setup.cfg
index c8bece2f8..39f0a2600 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -59,7 +59,7 @@ install_requires =
     tqdm>=4.45.0,<5
     packaging>=19.0
     zc.lockfile>=1.2.1
-    flufl.lock>=3.2,<4
+    flufl.lock>=5
     networkx>=2.5
     psutil>=5.8.0
     pydot>=1.2.4