diff --git a/lib/Pool.js b/lib/Pool.js
index d014052..aceaf36 100644
--- a/lib/Pool.js
+++ b/lib/Pool.js
@@ -152,9 +152,14 @@ class Pool extends EventEmitter {
 
   _applyDestroyTimeout(promise) {
     const timeoutPromise = new this._Promise((resolve, reject) => {
-      setTimeout(() => {
+      const timer = setTimeout(() => {
         reject(new Error("destroy timed out"));
-      }, this._config.destroyTimeoutMillis).unref();
+      }, this._config.destroyTimeoutMillis);
+      
+      // Only relevant in Node.js and for process quitting
+      if (typeof timer.unref === 'function') {
+        timer.unref();
+      }
     });
     return this._Promise.race([timeoutPromise, promise]);
   }
@@ -402,8 +407,12 @@ class Pool extends EventEmitter {
       this._scheduledEviction = setTimeout(() => {
         this._evict();
         this._scheduleEvictorRun();
-      }, this._config.evictionRunIntervalMillis).unref();
-    }
+      }, this._config.evictionRunIntervalMillis);
+      
+      // Only relevant in Node.js and for process quitting
+      if (typeof this._scheduledEviction.unref === 'function') {
+        this._scheduledEviction.unref();
+      }
   }
 
   _descheduleEvictorRun() {