Meeting Reminders created in Outlook are not displaying in Teams

I have Meetings showing on my Teams calendar that were created in Outlook. They may have "5 minute before" reminders set on them (or some have 10, 15, etc).

• If I have the Outlook client open on my computer...
  • Outlook will display those scheduled Reminders that meetings are starting soon.
• If I have Outlook closed on my computer...
  • Outlook doesn't display those alerts
  • Teams doesn't display those alerts

So my question is, if I have a Meeting that's showing on my Teams calendar, and it had a reminder set on it in Outlook, should Teams also display the reminder alert notifying me that a meeting is starting soon? As it is, if I happen to have Outlook closed, then I simply don't get the meeting reminder alert at all, causing me to miss or be late for meetings.