diff --git a/parso/python/tokenize.py b/parso/python/tokenize.py
index dec4363..36a6ad4 100644
--- a/parso/python/tokenize.py
+++ b/parso/python/tokenize.py
@@ -532,7 +532,7 @@ def tokenize_lines(lines, version_info, start_pos=(1, 0), indents=None, is_first
 
             if not pseudomatch:  # scan for tokens
                 match = whitespace.match(line, pos)
-                if pos == 0 and paren_level == 0 and not fstring_stack:
+                if new_line and paren_level == 0 and not fstring_stack:
                     for t in dedent_if_necessary(match.end()):
                         yield t
                 pos = match.end()
diff --git a/test/test_diff_parser.py b/test/test_diff_parser.py
index 7552df1..96d12db 100644
--- a/test/test_diff_parser.py
+++ b/test/test_diff_parser.py
@@ -1636,3 +1636,28 @@ def test_fstring_with_error_leaf(differ):
 
     differ.initialize(code1)
     differ.parse(code2, parsers=1, copies=1, expect_error_leaves=True)
+
+
+def test_yet_another_backslash(differ):
+    code1 = dedent('''\
+        def f():
+            x
+            def g():
+                y
+                base = "" \\
+                       "" % to
+                return
+        ''')
+    code2 = dedent('''\
+        def f():
+            x
+            def g():
+                y
+                base = "" \\
+          \x0f
+                return
+        ''')
+
+    differ.initialize(code1)
+    differ.parse(code2, parsers=ANY, copies=ANY, expect_error_leaves=True)
+    differ.parse(code1, parsers=ANY, copies=ANY)