diff --git a/regex-syntax/src/ast/mod.rs b/regex-syntax/src/ast/mod.rs
index 387ea3a69..9db9afaf1 100644
--- a/regex-syntax/src/ast/mod.rs
+++ b/regex-syntax/src/ast/mod.rs
@@ -1492,8 +1492,19 @@ mod tests {
 
         // We run our test on a thread with a small stack size so we can
         // force the issue more easily.
+        //
+        // NOTE(2023-03-21): It turns out that some platforms (like FreeBSD)
+        // will just barf with very small stack sizes. So we bump this up a bit
+        // to give more room to breath. When I did this, I confirmed that if
+        // I remove the custom `Drop` impl for `Ast`, then this test does
+        // indeed still fail with a stack overflow. (At the time of writing, I
+        // had to bump it all the way up to 32K before the test would pass even
+        // without the custom `Drop` impl. So 16K seems like a safe number
+        // here.)
+        //
+        // See: https://github.com/rust-lang/regex/issues/967
         thread::Builder::new()
-            .stack_size(1 << 10)
+            .stack_size(16 << 10)
             .spawn(run)
             .unwrap()
             .join()
diff --git a/regex-syntax/src/hir/mod.rs b/regex-syntax/src/hir/mod.rs
index 1096e9f05..156bcc284 100644
--- a/regex-syntax/src/hir/mod.rs
+++ b/regex-syntax/src/hir/mod.rs
@@ -2286,8 +2286,11 @@ mod tests {
 
         // We run our test on a thread with a small stack size so we can
         // force the issue more easily.
+        //
+        // NOTE(2023-03-21): See the corresponding test in 'crate::ast::tests'
+        // for context on the specific stack size chosen here.
         thread::Builder::new()
-            .stack_size(1 << 10)
+            .stack_size(16 << 10)
             .spawn(run)
             .unwrap()
             .join()