diff --git a/pandas/tests/io/parser/common/test_common_basic.py b/pandas/tests/io/parser/common/test_common_basic.py
index b4ac419fba30c..297cbbe66cb6b 100644
--- a/pandas/tests/io/parser/common/test_common_basic.py
+++ b/pandas/tests/io/parser/common/test_common_basic.py
@@ -753,3 +753,12 @@ def test_encoding_surrogatepass(all_parsers):
         tm.assert_frame_equal(df, expected)
         with pytest.raises(UnicodeDecodeError, match="'utf-8' codec can't decode byte"):
             parser.read_csv(path)
+
+
+def test_malformed_second_line(all_parsers):
+    # see GH14782
+    parser = all_parsers
+    data = "\na\nb\n"
+    result = parser.read_csv(StringIO(data), skip_blank_lines=False, header=1)
+    expected = DataFrame({"a": ["b"]})
+    tm.assert_frame_equal(result, expected)