A Dorian = A, B, C, D, E, F sharp, G, A
Your lick does indeed work because it contains notes from the A Dorian mode.
Chord tones are important to emphasize, don't overdo the Major 6 too much.
Whereabouts in the West Midlands are you ?
I live in Sutton Coldifeld, PM me if you want any lessons in harmony and theory. I'm just about to complete my first year at Music College. Harmony and theory are a favourite subject of mine.