diff --git a/pandas/tests/arrays/floating/test_astype.py b/pandas/tests/arrays/floating/test_astype.py
index 8f61f70fe0735..5a6e0988a0897 100644
--- a/pandas/tests/arrays/floating/test_astype.py
+++ b/pandas/tests/arrays/floating/test_astype.py
@@ -116,3 +116,13 @@ def test_astype_object(dtype):
     # check exact element types
     assert isinstance(result[0], float)
     assert result[1] is pd.NA
+
+
+def test_Float64_conversion():
+    # GH#40729
+    testseries = pd.Series(["1", "2", "3", "4"], dtype="object")
+    result = testseries.astype(pd.Float64Dtype())
+
+    expected = pd.Series([1.0, 2.0, 3.0, 4.0], dtype=pd.Float64Dtype())
+
+    tm.assert_series_equal(result, expected)