diff --git a/Lib/test/test_sys.py b/Lib/test/test_sys.py
index 4bd54af..d1c7daa 100644
--- a/Lib/test/test_sys.py
+++ b/Lib/test/test_sys.py
@@ -767,8 +767,13 @@
         except ImportError:
             with_pymalloc = support.with_pymalloc()
         else:
-            alloc_name = _testcapi.pymem_getallocatorsname()
-            with_pymalloc = (alloc_name in ('pymalloc', 'pymalloc_debug'))
+            try:
+                alloc_name = _testcapi.pymem_getallocatorsname()
+            except RuntimeError as exc:
+                # "cannot get allocators name" (ex: tracemalloc is used)
+                with_pymalloc = True
+            else:
+                with_pymalloc = (alloc_name in ('pymalloc', 'pymalloc_debug'))
 
         # Some sanity checks
         a = sys.getallocatedblocks()
diff --git a/Misc/NEWS.d/next/Tests/2019-04-12-12-44-42.bpo-36611.UtorXL.rst b/Misc/NEWS.d/next/Tests/2019-04-12-12-44-42.bpo-36611.UtorXL.rst
new file mode 100644
index 0000000..e4da7f1
--- /dev/null
+++ b/Misc/NEWS.d/next/Tests/2019-04-12-12-44-42.bpo-36611.UtorXL.rst
@@ -0,0 +1,2 @@
+Fix ``test_sys.test_getallocatedblocks()`` when :mod:`tracemalloc` is
+enabled.