Apple Music: Handoff to another device

I often listen to music at my desk on my laptop, then if I want to head outside, I’ll switch it to my phone. At least I did when using Spotify.

Is this possible on Apple Music? It doesn’t seem like it, but I’d be very surprised if this were the case!

Indeed if my Mac gets disconnected from the internet, it forgets what it was playing.

Is this what happens as standard or do I have an issue I need to resolve?

I use both Spotify (main service) and Apple Music (yes I know I have a problem). Spotify allows you to continue playing the same music on any device. This is because each spotify device/speaker knows what the other spotify device/speaker is playing. Its part of how Spotify Connect works.

Apple Music does not do this or its not as seamless as Spotify.