diff --git a/src/flake8/checker.py b/src/flake8/checker.py
index 6f8c0c1..dd39f4f 100644
--- a/src/flake8/checker.py
+++ b/src/flake8/checker.py
@@ -580,8 +580,8 @@ class FileChecker:
         """Run checks against the file."""
         assert self.processor is not None
         try:
-            self.process_tokens()
             self.run_ast_checks()
+            self.process_tokens()
         except exceptions.InvalidSyntax as exc:
             self.report(
                 exc.error_code,
diff --git a/tests/integration/test_main.py b/tests/integration/test_main.py
index 765e752..d584ad1 100644
--- a/tests/integration/test_main.py
+++ b/tests/integration/test_main.py
@@ -183,7 +183,10 @@ def test_tokenization_error_but_not_syntax_error(tmpdir, capsys):
         _call_main(['t.py'], retv=1)
 
     out, err = capsys.readouterr()
-    assert out == 't.py:1:1: E902 TokenError: EOF in multi-line statement\n'
+    assert out == '''\
+t.py:1:1: E902 TokenError: EOF in multi-line statement
+t.py:1:8: E999 SyntaxError: unexpected EOF while parsing
+'''
     assert err == ''
 
 
@@ -194,7 +197,10 @@ def test_tokenization_error_is_a_syntax_error(tmpdir, capsys):
         _call_main(['t.py'], retv=1)
 
     out, err = capsys.readouterr()
-    assert out == 't.py:1:1: E902 IndentationError: unindent does not match any outer indentation level\n'  # noqa: E501
+    assert out == '''\
+t.py:1:1: E902 IndentationError: unindent does not match any outer indentation level
+t.py:3:5: E999 IndentationError: unindent does not match any outer indentation level
+'''  # noqa: E501
     assert err == ''