diff --git a/pandas/io/parsers/arrow_parser_wrapper.py b/pandas/io/parsers/arrow_parser_wrapper.py
index ad39d0ebf4326..dbc6f6399abbd 100644
--- a/pandas/io/parsers/arrow_parser_wrapper.py
+++ b/pandas/io/parsers/arrow_parser_wrapper.py
@@ -140,6 +140,7 @@ def handle_warning(invalid_row) -> str:
             ]
 
         self.read_options = {
+            "column_names": [] if self.header is None else self.kwds["names"],
             "autogenerate_column_names": self.header is None,
             "skip_rows": self.header
             if self.header is not None
diff --git a/pandas/tests/io/parser/common/test_common_basic.py b/pandas/tests/io/parser/common/test_common_basic.py
index 3680273f5e98a..9b5959b374dc4 100644
--- a/pandas/tests/io/parser/common/test_common_basic.py
+++ b/pandas/tests/io/parser/common/test_common_basic.py
@@ -119,6 +119,17 @@ def test_csv_mixed_type(all_parsers):
     tm.assert_frame_equal(result, expected)
 
 
+def test_read_csv_single_line(all_parsers):
+    # GH62635
+    parser = all_parsers
+    table = parser.read_csv(
+        StringIO("1,2,3\n"),
+        names=["col1", "col2", "col3"],
+    )
+    expected = DataFrame({"col1": [1], "col2": [2], "col3": [3]})
+    tm.assert_frame_equal(table, expected)
+
+
 def test_read_csv_low_memory_no_rows_with_index(all_parsers):
     # see gh-21141
     parser = all_parsers