diff --git a/sqlparse/keywords.py b/sqlparse/keywords.py
index 874431f4..80eaf58d 100644
--- a/sqlparse/keywords.py
+++ b/sqlparse/keywords.py
@@ -59,9 +59,9 @@
     (r'(?![_A-ZÀ-Ü])-?(\d+(\.\d*)|\.\d+)(?![_A-ZÀ-Ü])',
      tokens.Number.Float),
     (r'(?![_A-ZÀ-Ü])-?\d+(?![_A-ZÀ-Ü])', tokens.Number.Integer),
-    (r"'(''|\\'|[^'])*'", tokens.String.Single),
+    (r"'(''|\\\\|\\'|[^'])*'", tokens.String.Single),
     # not a real string literal in ANSI SQL:
-    (r'"(""|\\"|[^"])*"', tokens.String.Symbol),
+    (r'"(""|\\\\|\\"|[^"])*"', tokens.String.Symbol),
     (r'(""|".*?[^\\]")', tokens.String.Symbol),
     # sqlite names can be escaped with [square brackets]. left bracket
     # cannot be preceded by word character or a right bracket --
diff --git a/tests/test_tokenize.py b/tests/test_tokenize.py
index e368e83e..f8a7d01a 100644
--- a/tests/test_tokenize.py
+++ b/tests/test_tokenize.py
@@ -245,3 +245,21 @@ def test_cli_commands():
     p = sqlparse.parse('\\copy')[0]
     assert len(p.tokens) == 1
     assert p.tokens[0].ttype == T.Command
+
+
+def test_tokenize_escaped_backslash():
+    """Test that escaped backslashes in SQL strings are correctly tokenized."""
+    import sqlparse
+    from sqlparse import tokens as T
+
+    # Test single-quoted string with escaped backslash
+    sql = r"SELECT '\\', '\\'"
+    tokens = list(sqlparse.parse(sql)[0].flatten())
+    token_types = [t.ttype for t in tokens]
+
+    # Should be: SELECT, whitespace, ',', ,, whitespace, ',',  (6 tokens after keyword)
+    assert T.Keyword.DML in token_types  # SELECT
+    string_tokens = [t for t in tokens if t.ttype in (T.String.Single,)]
+    assert len(string_tokens) == 2, f"Expected 2 string tokens, got {len(string_tokens)}"
+    assert string_tokens[0].value == "'\\\\'"
+    assert string_tokens[1].value == "'\\\\'"