diff --git a/datafusion/core/tests/user_defined/user_defined_async_scalar_functions.rs b/datafusion/core/tests/user_defined/user_defined_async_scalar_functions.rs
index 168d81fc6b44c..31af4445ace08 100644
--- a/datafusion/core/tests/user_defined/user_defined_async_scalar_functions.rs
+++ b/datafusion/core/tests/user_defined/user_defined_async_scalar_functions.rs
@@ -21,16 +21,14 @@ use arrow::array::{Int32Array, RecordBatch, StringArray};
 use arrow::datatypes::{DataType, Field, Schema};
 use async_trait::async_trait;
 use datafusion::prelude::*;
+use datafusion_common::test_util::format_batches;
 use datafusion_common::{Result, assert_batches_eq};
 use datafusion_expr::async_udf::{AsyncScalarUDF, AsyncScalarUDFImpl};
 use datafusion_expr::{
     ColumnarValue, ScalarFunctionArgs, ScalarUDFImpl, Signature, Volatility,
 };
 
-// This test checks the case where batch_size doesn't evenly divide
-// the number of rows.
-#[tokio::test]
-async fn test_async_udf_with_non_modular_batch_size() -> Result<()> {
+fn register_table_and_udf() -> Result<SessionContext> {
     let num_rows = 3;
     let batch_size = 2;
 
@@ -59,6 +57,15 @@ async fn test_async_udf_with_non_modular_batch_size() -> Result<()> {
             .into_scalar_udf(),
     );
 
+    Ok(ctx)
+}
+
+// This test checks the case where batch_size doesn't evenly divide
+// the number of rows.
+#[tokio::test]
+async fn test_async_udf_with_non_modular_batch_size() -> Result<()> {
+    let ctx = register_table_and_udf()?;
+
     let df = ctx
         .sql("SELECT id, test_async_udf(prompt) as result FROM test_table")
         .await?;
@@ -81,6 +88,31 @@ async fn test_async_udf_with_non_modular_batch_size() -> Result<()> {
     Ok(())
 }
 
+// This test checks if metrics are printed for `AsyncFuncExec`
+#[tokio::test]
+async fn test_async_udf_metrics() -> Result<()> {
+    let ctx = register_table_and_udf()?;
+
+    let df = ctx
+        .sql(
+            "EXPLAIN ANALYZE SELECT id, test_async_udf(prompt) as result FROM test_table",
+        )
+        .await?;
+
+    let result = df.collect().await?;
+
+    let explain_analyze_str = format_batches(&result)?.to_string();
+    let async_func_exec_without_metrics =
+        explain_analyze_str.split("\n").any(|metric_line| {
+            metric_line.contains("AsyncFuncExec")
+                && !metric_line.contains("output_rows=3")
+        });
+
+    assert!(!async_func_exec_without_metrics);
+
+    Ok(())
+}
+
 #[derive(Debug, PartialEq, Eq, Hash, Clone)]
 struct TestAsyncUDFImpl {
     batch_size: usize,
diff --git a/datafusion/physical-plan/src/async_func.rs b/datafusion/physical-plan/src/async_func.rs
index 7393116b5ef3f..a61fd95949d1a 100644
--- a/datafusion/physical-plan/src/async_func.rs
+++ b/datafusion/physical-plan/src/async_func.rs
@@ -30,6 +30,7 @@ use datafusion_physical_expr::ScalarFunctionExpr;
 use datafusion_physical_expr::async_scalar_function::AsyncFuncExpr;
 use datafusion_physical_expr::equivalence::ProjectionMapping;
 use datafusion_physical_expr::expressions::Column;
+use datafusion_physical_expr_common::metrics::{BaselineMetrics, RecordOutput};
 use datafusion_physical_expr_common::physical_expr::PhysicalExpr;
 use futures::Stream;
 use futures::stream::StreamExt;
@@ -182,11 +183,14 @@ impl ExecutionPlan for AsyncFuncExec {
             context.session_id(),
             context.task_id()
         );
-        // TODO figure out how to record metrics
 
         // first execute the input stream
         let input_stream = self.input.execute(partition, Arc::clone(&context))?;
 
+        // TODO: Track `elapsed_compute` in `BaselineMetrics`
+        // Issue: <https://github.com/apache/datafusion/issues/19658>
+        let baseline_metrics = BaselineMetrics::new(&self.metrics, partition);
+
         // now, for each record batch, evaluate the async expressions and add the columns to the result
         let async_exprs_captured = Arc::new(self.async_exprs.clone());
         let schema_captured = self.schema();
@@ -207,6 +211,7 @@ impl ExecutionPlan for AsyncFuncExec {
             let async_exprs_captured = Arc::clone(&async_exprs_captured);
             let schema_captured = Arc::clone(&schema_captured);
             let config_options = Arc::clone(&config_options_ref);
+            let baseline_metrics_captured = baseline_metrics.clone();
 
             async move {
                 let batch = batch?;
@@ -219,7 +224,8 @@ impl ExecutionPlan for AsyncFuncExec {
                     output_arrays.push(output.to_array(batch.num_rows())?);
                 }
                 let batch = RecordBatch::try_new(schema_captured, output_arrays)?;
-                Ok(batch)
+
+                Ok(batch.record_output(&baseline_metrics_captured))
             }
         });