Lincoln City manager David Holdsworth feels they have a chance of FA Trophy progress after being drawn at home to Carshalton Athletic in round two.
"We must give them the respect they deserve. No game is ever won on paper," Holdsworth told BBC Lincolnshire.
"But we wanted a home draw. We will go into it in a positive frame of mind."
The Imps are due to face Ryman Premier League side Carshalton on 14 January, having made it through with Saturday's 3-1 first round win at Colwyn Bay.
Jamie Taylor, making his first start in three months, put Lincoln ahead after 10 minutes before Bay were reduced to 10 men when Lee McEvilly was sent off for a challenge on Francis Laurent.
Conal Platt doubled the Imps' lead on 31 minutes, only for the Blue Square Bet North side to reduce the arrears through Fraser McLachlan's penalty on the hour.
But striker Taylor made the game safe with his second goal of the game on 71 minutes as Lincoln eased into round two.