diff --git a/Lib/test/test_types.py b/Lib/test/test_types.py
index 1b8e6054d7f5a8..c200e07b2a346e 100644
--- a/Lib/test/test_types.py
+++ b/Lib/test/test_types.py
@@ -497,6 +497,12 @@ def test(f, format_spec, result):
         test(0.01, '', '0.01')
         test(0.01, 'g', '0.01')
 
+        # test for issue 3411
+        test(1.23, '1', '1.23')
+        test(-1.23, '1', '-1.23')
+        test(1.23, '1g', '1.23')
+        test(-1.23, '1g', '-1.23')
+
         test( 1.0, ' g', ' 1')
         test(-1.0, ' g', '-1')
         test( 1.0, '+g', '+1')
diff --git a/Python/pystrtod.c b/Python/pystrtod.c
index 5a96b58e15fc45..b3738528dbfe7f 100644
--- a/Python/pystrtod.c
+++ b/Python/pystrtod.c
@@ -302,6 +302,10 @@ ensure_decimal_point(char* buffer, size_t buf_size)
 
 	/* search for the first non-digit character */
 	char *p = buffer;
+	if (*p == '-' || *p == '+')
+		/* Skip leading sign, if present.  I think this could only
+		   ever be '-', but it can't hurt to check for both. */
+		++p;
 	while (*p && isdigit(Py_CHARMASK(*p)))
 		++p;