diff --git a/aggregator/src/aggregator.rs b/aggregator/src/aggregator.rs
index ad3b5ee3b..09937383f 100644
--- a/aggregator/src/aggregator.rs
+++ b/aggregator/src/aggregator.rs
@@ -107,7 +107,7 @@ use std::{
     time::{Duration as StdDuration, Instant},
 };
 use tokio::{sync::mpsc, try_join};
-use tracing::{debug, info, trace_span, warn, Level};
+use tracing::{debug, info, info_span, trace_span, warn, Level, Span};
 use url::Url;
 
 #[cfg(test)]
@@ -1931,6 +1931,7 @@ impl VdafOps {
 
         let (sender, mut receiver) = mpsc::unbounded_channel();
         let producer_task = tokio::task::spawn_blocking({
+            let parent_span = Span::current();
             let global_hpke_keypairs = global_hpke_keypairs.view();
             let vdaf = Arc::clone(&vdaf);
             let task = Arc::clone(&task);
@@ -1941,6 +1942,9 @@ impl VdafOps {
             let agg_param = Arc::clone(&agg_param);
 
             move || {
+                let span = info_span!(parent: parent_span, "handle_aggregate_init_generic threadpool task");
+                let _entered = span.enter();
+
                 req
                     .prepare_inits()
                     .par_iter()
@@ -2247,7 +2251,7 @@ impl VdafOps {
         });
 
         let mut report_share_data = Vec::with_capacity(req.prepare_inits().len());
-        while receiver.recv_many(&mut report_share_data, usize::MAX).await > 0 {}
+        while receiver.recv_many(&mut report_share_data, 10).await > 0 {}
 
         // Await the producer task to resume any panics that may have occurred, and to ensure we can
         // unwrap the aggregation parameter's Arc in a few lines. The only other errors that can
diff --git a/aggregator/src/aggregator/aggregation_job_continue.rs b/aggregator/src/aggregator/aggregation_job_continue.rs
index 02c20c88b..201444009 100644
--- a/aggregator/src/aggregator/aggregation_job_continue.rs
+++ b/aggregator/src/aggregator/aggregation_job_continue.rs
@@ -27,7 +27,7 @@ use prio::{
 use rayon::iter::{IntoParallelIterator as _, ParallelIterator as _};
 use std::{panic, sync::Arc};
 use tokio::sync::mpsc;
-use tracing::trace_span;
+use tracing::{info_span, trace_span, Span};
 
 impl VdafOps {
     /// Step the helper's aggregation job to the next step using the step `n` ping pong state in
@@ -142,13 +142,17 @@ impl VdafOps {
         // Compute the next aggregation step.
         let (sender, mut receiver) = mpsc::unbounded_channel();
         let aggregation_job = Arc::new(aggregation_job);
-        let producer_fut = tokio::task::spawn_blocking({
+        let producer_task = tokio::task::spawn_blocking({
+            let parent_span = Span::current();
             let metrics = metrics.clone();
             let task = Arc::clone(&task);
             let vdaf = Arc::clone(&vdaf);
             let aggregation_job = Arc::clone(&aggregation_job);
 
             move || {
+                let span = info_span!(parent: parent_span, "step_aggregation_job threadpool task");
+                let _entered = span.enter();
+
                 prep_steps_and_ras.into_par_iter().try_for_each_with(
                     sender,
                     |sender, (prep_step, report_aggregation, prep_state)| {
@@ -240,7 +244,7 @@ impl VdafOps {
         });
 
         while receiver
-            .recv_many(&mut report_aggregations_to_write, usize::MAX)
+            .recv_many(&mut report_aggregations_to_write, 10)
             .await
             > 0
         {}
@@ -250,7 +254,7 @@ impl VdafOps {
         // are: a `JoinError` indicating cancellation, which is impossible because we do not cancel
         // the task; and a `SendError`, which can only happen if this future is cancelled (in which
         // case we will not run this code at all).
-        let _ = producer_fut.await.map_err(|join_error| {
+        let _ = producer_task.await.map_err(|join_error| {
             if let Ok(reason) = join_error.try_into_panic() {
                 panic::resume_unwind(reason);
             }