diff --git a/.travis.yml b/.travis.yml
index b891e3bcf6061..9f9ca26406675 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -80,9 +80,6 @@ jobs:
   #   env:
   #   - TOXENV=dev
   #   - EXTRA_ARGS=
-  allow_failures:
-  - name: "run test suite with python 3.9"
-    python: 3.9-dev
 
 install:
 - pip install -U pip setuptools
diff --git a/mypy/test/testcheck.py b/mypy/test/testcheck.py
index 49a85861b6e32..39a35c7280282 100644
--- a/mypy/test/testcheck.py
+++ b/mypy/test/testcheck.py
@@ -94,6 +94,8 @@
 # Tests that use Python 3.8-only AST features (like expression-scoped ignores):
 if sys.version_info >= (3, 8):
     typecheck_files.append('check-python38.test')
+if sys.version_info >= (3, 9):
+    typecheck_files.append('check-python39.test')
 
 # Special tests for platforms with case-insensitive filesystems.
 if sys.platform in ('darwin', 'win32'):
diff --git a/test-data/unit/check-kwargs.test b/test-data/unit/check-kwargs.test
index 1dd450caae1b0..a587be3e06f85 100644
--- a/test-data/unit/check-kwargs.test
+++ b/test-data/unit/check-kwargs.test
@@ -53,13 +53,6 @@ f(b=[], a=A())
 class A: pass
 [builtins fixtures/list.pyi]
 
-[case testGivingSameKeywordArgumentTwice]
-import typing
-def f(a: 'A', b: 'B') -> None: pass
-f(a=A(), b=B(), a=A()) # E: keyword argument repeated
-class A: pass
-class B: pass
-
 [case testGivingArgumentAsPositionalAndKeywordArg]
 import typing
 def f(a: 'A', b: 'B' = None) -> None: pass
diff --git a/test-data/unit/check-python39.test b/test-data/unit/check-python39.test
new file mode 100644
index 0000000000000..0e9ec683aec09
--- /dev/null
+++ b/test-data/unit/check-python39.test
@@ -0,0 +1,9 @@
+[case testGivingSameKeywordArgumentTwice]
+# This test was originally in check-kwargs.test
+# Python 3.9's new parser started producing a different error message here. Since this isn't the
+# most important test, to deal with this we'll only run this test with Python 3.9 and later.
+import typing
+def f(a: 'A', b: 'B') -> None: pass
+f(a=A(), b=B(), a=A()) # E: "f" gets multiple values for keyword argument "a"
+class A: pass
+class B: pass