diff --git a/src/task/blocking.rs b/src/task/blocking.rs
index 90c6e355..41177bc9 100644
--- a/src/task/blocking.rs
+++ b/src/task/blocking.rs
@@ -49,7 +49,7 @@ lazy_static! {
 
 // Create up to MAX_THREADS dynamic blocking task worker threads.
 // Dynamic threads will terminate themselves if they don't
-// receive any work after one second.
+// receive any work after between one and ten seconds.
 fn maybe_create_another_blocking_thread() {
     // We use a `Relaxed` atomic operation because
     // it's just a heuristic, and would not lose correctness
@@ -59,10 +59,19 @@ fn maybe_create_another_blocking_thread() {
         return;
     }
 
+    // We want to avoid having all threads terminate at
+    // exactly the same time, causing thundering herd
+    // effects. We want to stagger their destruction over
+    // 10 seconds or so to make the costs fade into
+    // background noise.
+    //
+    // Generate a simple random number of milliseconds
+    let rand_sleep_ms = u64::from(random(10_000));
+
     thread::Builder::new()
         .name("async-blocking-driver-dynamic".to_string())
-        .spawn(|| {
-            let wait_limit = Duration::from_secs(1);
+        .spawn(move || {
+            let wait_limit = Duration::from_millis(1000 + rand_sleep_ms);
 
             DYNAMIC_THREAD_COUNT.fetch_add(1, Ordering::Relaxed);
             while let Ok(task) = POOL.receiver.recv_timeout(wait_limit) {
@@ -119,3 +128,30 @@ impl<R> fmt::Debug for JoinHandle<R> {
             .finish()
     }
 }
+
+/// Generates a random number in `0..n`.
+fn random(n: u32) -> u32 {
+    use std::cell::Cell;
+    use std::num::Wrapping;
+
+    thread_local! {
+        static RNG: Cell<Wrapping<u32>> = Cell::new(Wrapping(1406868647));
+    }
+
+    RNG.with(|rng| {
+        // This is the 32-bit variant of Xorshift.
+        //
+        // Source: https://en.wikipedia.org/wiki/Xorshift
+        let mut x = rng.get();
+        x ^= x << 13;
+        x ^= x >> 17;
+        x ^= x << 5;
+        rng.set(x);
+
+        // This is a fast alternative to `x % n`.
+        //
+        // Author: Daniel Lemire
+        // Source: https://lemire.me/blog/2016/06/27/a-fast-alternative-to-the-modulo-reduction/
+        ((x.0 as u64).wrapping_mul(n as u64) >> 32) as u32
+    })
+}