Notification Control for Unapproved Posts in Review Queue

We have a scenario where a user’s post is automatically flagged and sent to the review queue for moderation. We are not using an approval system, so when a new post is created, it generates a ‘New or updated topic’ notification and shows an unread count for that topic. We want to prevent these notifications from appearing until the post is approved. Are there any settings or plugins available that can accomplish this?