diff --git a/coverage/pytracer.py b/coverage/pytracer.py
index 7ab4d3ef9..8b81cf0e1 100644
--- a/coverage/pytracer.py
+++ b/coverage/pytracer.py
@@ -85,7 +85,7 @@ def log(self, marker, *args):
             if 0:
                 f.write(".{:x}.{:x}".format(
                     self.thread.ident,
-                    self.threading.currentThread().ident,
+                    self.threading.current_thread().ident,
                 ))
             f.write(" {}".format(" ".join(map(str, args))))
             if 0:
@@ -220,9 +220,9 @@ def start(self):
         self.stopped = False
         if self.threading:
             if self.thread is None:
-                self.thread = self.threading.currentThread()
+                self.thread = self.threading.current_thread()
             else:
-                if self.thread.ident != self.threading.currentThread().ident:
+                if self.thread.ident != self.threading.current_thread().ident:
                     # Re-starting from a different thread!? Don't set the trace
                     # function, but we are marked as running again, so maybe it
                     # will be ok?
@@ -243,7 +243,7 @@ def stop(self):
         # right thread.
         self.stopped = True
 
-        if self.threading and self.thread.ident != self.threading.currentThread().ident:
+        if self.threading and self.thread.ident != self.threading.current_thread().ident:
             # Called on a different thread than started us: we can't unhook
             # ourselves, but we've set the flag that we should stop, so we
             # won't do any more tracing.
diff --git a/tests/test_concurrency.py b/tests/test_concurrency.py
index 86c69cf50..54e500148 100644
--- a/tests/test_concurrency.py
+++ b/tests/test_concurrency.py
@@ -518,7 +518,7 @@ def test_coverage_stop_in_threads():
     def run_thread():           # pragma: nested
         """Check that coverage is stopping properly in threads."""
         deadline = time.time() + 5
-        ident = threading.currentThread().ident
+        ident = threading.current_thread().ident
         if sys.gettrace() is not None:
             has_started_coverage.append(ident)
         while sys.gettrace() is not None: