The Millers' final delivery in the box was poor on the occasions they got wide, with a lack of end product evident.
Kevin Ellison had the best chance early on as he headed Tom Newey's cross over the top whilst Jason Taylor shot wide from just outside the area.
The best effort of the first half though was Adam Le Fondre's deflected shot from range, which drifted just wide of Jon McLaughlin's upright.
City stepped on the gas just before the break for a short period which resulted in Omar Daley's run and shot from the left hand side of the area, which was superbly tipped over by Warrington's outstretched left hand.
After the break Daley went off injured but had City's best effort just before the hour, when he fizzed another shot just wide of Warrington's post.
At the other end, Zesh Rehman blocked Danny Harrison's effort after Tom Pope flicked a header downwards.
But the visitors finished stronger as Warrington twice denied Luke O'Brien, Tom Adeyemi and then Gareth Evans, with his best stop of the night from point blank range.
Ryan Taylor made a return from injury replacing Pope in the latter stages as the game drifted out into a tame draw in the evening mist.