diff --git a/arrow-pyarrow-integration-testing/src/lib.rs b/arrow-pyarrow-integration-testing/src/lib.rs
index adcec769f247..1814ac4fb121 100644
--- a/arrow-pyarrow-integration-testing/src/lib.rs
+++ b/arrow-pyarrow-integration-testing/src/lib.rs
@@ -21,6 +21,7 @@
 use std::sync::Arc;
 
 use arrow::array::new_empty_array;
+use arrow::record_batch::{RecordBatchIterator, RecordBatchReader};
 use pyo3::exceptions::PyValueError;
 use pyo3::prelude::*;
 use pyo3::wrap_pyfunction;
@@ -152,6 +153,20 @@ fn reader_return_errors(obj: PyArrowType<ArrowArrayStreamReader>) -> PyResult<()
     }
 }
 
+#[pyfunction]
+fn boxed_reader_roundtrip(
+    obj: PyArrowType<Box<dyn RecordBatchReader + Send>>,
+) -> PyArrowType<Box<dyn RecordBatchReader + Send>> {
+    let schema = obj.0.schema();
+    let batches = obj
+        .0
+        .collect::<Result<Vec<RecordBatch>, ArrowError>>()
+        .unwrap();
+    let reader = RecordBatchIterator::new(batches.into_iter().map(Ok), schema);
+    let reader: Box<dyn RecordBatchReader + Send> = Box::new(reader);
+    PyArrowType(reader)
+}
+
 #[pymodule]
 fn arrow_pyarrow_integration_testing(_py: Python, m: &PyModule) -> PyResult<()> {
     m.add_wrapped(wrap_pyfunction!(double))?;
@@ -166,5 +181,6 @@ fn arrow_pyarrow_integration_testing(_py: Python, m: &PyModule) -> PyResult<()>
     m.add_wrapped(wrap_pyfunction!(round_trip_record_batch))?;
     m.add_wrapped(wrap_pyfunction!(round_trip_record_batch_reader))?;
     m.add_wrapped(wrap_pyfunction!(reader_return_errors))?;
+    m.add_wrapped(wrap_pyfunction!(boxed_reader_roundtrip))?;
     Ok(())
 }
diff --git a/arrow-pyarrow-integration-testing/tests/test_sql.py b/arrow-pyarrow-integration-testing/tests/test_sql.py
index 92782b9ed473..2d53882b5f12 100644
--- a/arrow-pyarrow-integration-testing/tests/test_sql.py
+++ b/arrow-pyarrow-integration-testing/tests/test_sql.py
@@ -409,6 +409,13 @@ def test_record_batch_reader():
     got_batches = list(b)
     assert got_batches == batches
 
+    # Also try the boxed reader variant
+    a = pa.RecordBatchReader.from_batches(schema, batches)
+    b = rust.boxed_reader_roundtrip(a)
+    assert b.schema == schema
+    got_batches = list(b)
+    assert got_batches == batches
+
 def test_record_batch_reader_error():
     schema = pa.schema([('ints', pa.list_(pa.int32()))])
 
diff --git a/arrow/src/lib.rs b/arrow/src/lib.rs
index fb904c1908e6..f4d0585fa6b5 100644
--- a/arrow/src/lib.rs
+++ b/arrow/src/lib.rs
@@ -375,7 +375,8 @@ pub mod pyarrow;
 
 pub mod record_batch {
     pub use arrow_array::{
-        RecordBatch, RecordBatchOptions, RecordBatchReader, RecordBatchWriter,
+        RecordBatch, RecordBatchIterator, RecordBatchOptions, RecordBatchReader,
+        RecordBatchWriter,
     };
 }
 pub use arrow_array::temporal_conversions;
diff --git a/arrow/src/pyarrow.rs b/arrow/src/pyarrow.rs
index 54a247d53e6d..bbb96e2cc4cc 100644
--- a/arrow/src/pyarrow.rs
+++ b/arrow/src/pyarrow.rs
@@ -24,6 +24,7 @@ use std::convert::{From, TryFrom};
 use std::ptr::{addr_of, addr_of_mut};
 use std::sync::Arc;
 
+use arrow_array::RecordBatchReader;
 use pyo3::exceptions::{PyTypeError, PyValueError};
 use pyo3::ffi::Py_uintptr_t;
 use pyo3::import_exception;
@@ -277,10 +278,19 @@ impl FromPyArrow for ArrowArrayStreamReader {
     }
 }
 
-impl IntoPyArrow for ArrowArrayStreamReader {
+impl FromPyArrow for Box<dyn RecordBatchReader + Send> {
+    fn from_pyarrow(value: &PyAny) -> PyResult<Self> {
+        let stream_reader = ArrowArrayStreamReader::from_pyarrow(value)?;
+        Ok(Box::new(stream_reader))
+    }
+}
+
+// We can't implement `ToPyArrow` for `T: RecordBatchReader + Send` because
+// there is already a blanket implementation for `T: ToPyArrow`.
+impl IntoPyArrow for Box<dyn RecordBatchReader + Send> {
     fn into_pyarrow(self, py: Python) -> PyResult<PyObject> {
         let mut stream = FFI_ArrowArrayStream::empty();
-        unsafe { export_reader_into_raw(Box::new(self), &mut stream) };
+        unsafe { export_reader_into_raw(self, &mut stream) };
 
         let stream_ptr = (&mut stream) as *mut FFI_ArrowArrayStream;
         let module = py.import("pyarrow")?;
@@ -292,6 +302,13 @@ impl IntoPyArrow for ArrowArrayStreamReader {
     }
 }
 
+impl IntoPyArrow for ArrowArrayStreamReader {
+    fn into_pyarrow(self, py: Python) -> PyResult<PyObject> {
+        let boxed: Box<dyn RecordBatchReader + Send> = Box::new(self);
+        boxed.into_pyarrow(py)
+    }
+}
+
 /// A newtype wrapper around a `T: PyArrowConvert` that implements
 /// [`FromPyObject`] and [`IntoPy`] allowing usage with pyo3 macros
 #[derive(Debug)]