Not recommended — #31 of 31 Tweed ranks #31 of 31 fabrics for quick drying. It is a poor fabric for this. Ranked on low moisture regain, low weight, and packability — the inverse of absorbency. The top pick is Polypropylene.
Tweed measures 50/100 for breathability, 14% moisture regain, 82/100 warmth, at 350 gsm. Fast drying favours low moisture regain: at 14% Tweed holds water and dries slowly, and 350 gsm keeps it light.