diff --git a/nexus/src/app/background/tasks/support_bundle_collector.rs b/nexus/src/app/background/tasks/support_bundle_collector.rs
index 4ef4d9737c..b9439fcc2e 100644
--- a/nexus/src/app/background/tasks/support_bundle_collector.rs
+++ b/nexus/src/app/background/tasks/support_bundle_collector.rs
@@ -1162,7 +1162,9 @@ fn recursively_add_directory_to_zipfile(
 
         let file_type = entry.file_type()?;
         if file_type.is_file() {
-            let opts = FullFileOptions::default();
+            let opts = FullFileOptions::default()
+                .compression_method(zip::CompressionMethod::Deflated)
+                .large_file(true);
             let src = entry.path();
 
             zip.start_file_from_path(dst, opts)?;
diff --git a/sled-diagnostics/src/logs.rs b/sled-diagnostics/src/logs.rs
index daa6b00b28..9970e0433b 100644
--- a/sled-diagnostics/src/logs.rs
+++ b/sled-diagnostics/src/logs.rs
@@ -720,7 +720,13 @@ fn write_log_to_zip<W: Write + Seek>(
         zip_path,
         FullFileOptions::default()
             .compression_method(zip::CompressionMethod::Zstd)
-            .compression_level(Some(3)),
+            .compression_level(Some(3))
+            // NB: From the docs
+            // If set to false and the file exceeds the
+            // limit, an I/O error is thrown and the file is aborted. If set to
+            // true, readers will require ZIP64 support and if the file does not
+            // exceed the limit, 20 B are wasted.
+            .large_file(true),
     )?;
     if let Err(e) = std::io::copy(&mut src, zip) {
         // If we fail here the `ZipWriter` is an unknown state and we are forced