Update Complications in WatchOS from iOS using WatchConnectivity?

I'm trying to update data displayed in my Watch Complications (WidgetKit). I have an iOS app that sends data to the Apple Watch using WCSession.default.transferUserInfo. However, the data only updates on the complications or widgets after I open the watchOS app manually.

Ideally, I'd like the Watch widget/complication to reflect the updated data as soon as it's sent from the iPhone, without requiring the user to open the Watch app.