I think the right sort of EQ might be a start. I would be rolling off the high end with a LPF and taking some of the excess air away. Maybe working on the mids and lower mds adding some energey there to make things warmer.
Some plugins are really good for this naturally like Pultec EQ. It has got lovely shaping up top and can add some valve and transformer warmth to boot.
Be careful with the vocal reverb too and don't make it too bright either.