diff --git a/Lib/test/test_eof.py b/Lib/test/test_eof.py
index f8065788cec..9ef8eb11874 100644
--- a/Lib/test/test_eof.py
+++ b/Lib/test/test_eof.py
@@ -26,7 +26,6 @@ class EOFTestCase(unittest.TestCase):
         else:
             raise support.TestFailed
 
-    @support.skip_if_new_parser("TODO for PEG -- fails with new parser")
     def test_line_continuation_EOF(self):
         """A continuation at the end of input must be an error; bpo2180."""
         expect = 'unexpected EOF while parsing (<string>, line 1)'
@@ -37,7 +36,6 @@ class EOFTestCase(unittest.TestCase):
             exec('\\')
         self.assertEqual(str(excinfo.exception), expect)
 
-    @unittest.skip("TODO for PEG -- fails even with old parser now")
     @unittest.skipIf(not sys.executable, "sys.executable required")
     def test_line_continuation_EOF_from_file_bpo2180(self):
         """Ensure tok_nextc() does not add too many ending newlines."""
diff --git a/Parser/pegen/pegen.c b/Parser/pegen/pegen.c
index d75267b2e27..6f78d8c8652 100644
--- a/Parser/pegen/pegen.c
+++ b/Parser/pegen/pegen.c
@@ -344,13 +344,16 @@ tokenizer_error(Parser *p)
             break;
         case E_BADPREFIX:
             return tokenizer_error_with_col_offset(p,
-                PyExc_SyntaxError, "invalid string prefix");
+                errtype, "invalid string prefix");
         case E_EOFS:
             return tokenizer_error_with_col_offset(p,
-                PyExc_SyntaxError, "EOF while scanning triple-quoted string literal");
+                errtype, "EOF while scanning triple-quoted string literal");
         case E_EOLS:
             return tokenizer_error_with_col_offset(p,
-                PyExc_SyntaxError, "EOL while scanning string literal");
+                errtype, "EOL while scanning string literal");
+        case E_EOF:
+            return tokenizer_error_with_col_offset(p,
+                errtype, "unexpected EOF while parsing");
         case E_DEDENT:
             return tokenizer_error_with_col_offset(p,
                 PyExc_IndentationError, "unindent does not match any outer indentation level");