diff --git a/parso/python/tokenize.py b/parso/python/tokenize.py
index 40ad694..628e804 100644
--- a/parso/python/tokenize.py
+++ b/parso/python/tokenize.py
@@ -573,7 +573,7 @@ def tokenize_lines(lines, version_info, start_pos=(1, 0)):
                                 indents.append(indent)
                                 break
                 yield PythonToken(NAME, token, spos, prefix)
-            elif initial == '\\' and line[start:] in ('\\\n', '\\\r\n', '\\r'):  # continued stmt
+            elif initial == '\\' and line[start:] in ('\\\n', '\\\r\n', '\\\r'):  # continued stmt
                 additional_prefix += prefix + line[start:]
                 break
             else:
diff --git a/test/test_tokenize.py b/test/test_tokenize.py
index a3e1a88..7bf3da2 100644
--- a/test/test_tokenize.py
+++ b/test/test_tokenize.py
@@ -307,3 +307,8 @@ def test_form_feed():
     assert error_token.prefix == '\f'
     assert error_token.string == '"""'
     assert endmarker.prefix == ''
+
+
+def test_carriage_return():
+    lst = _get_token_list(' =\\\rclass')
+    assert [t.type for t in lst] == [INDENT, OP, DEDENT, NAME, ENDMARKER]