I know you've said you don't necessarily need a jacket for the dress, OP. But I do think you might just look as if you've forgotten something?! It will be November! Also, having a jacket of some kind, whether plain or patterned, would give you another colour to tie in with regarding your bag, shoes & jewellery & would, IMO, help to make it all look well put-together?
Various posters have suggested different colours with the teal dress (aside from metallics). Burgundy, navy, teal or green. I've just done a little image experiment here, & paired the dress with those colours (as plain velvet jackets, for easy comparison - but it could be shoes or bags, it's about the colours).
Burgundy is ok, but wouldn't be my first choice. It looks quite dark against the teal & a bit dead. It works much better with olives & khakis, I think. Navy just looks as if you tried to match the dress & didn't manage it. Teal would also look like that.
I still think that an olive green (or emerald or jade - but I haven't gone there as I've assumed they're not your kind of greens, OP?), works best. It's the same depth & richness of colour, so they are balanced. It doesn't have to be plain either - a brocade jacket in greens/blues/teals & maybe a metallic would allow you to accessorise with the different colours.
The key is to make every choice look deliberate - not as if it's a jacket/pair of shoes/jewellery you already had, & are wearing simply because they'll do ...