The Ravens were pushed all the way on Saturday but eventually left Cumbria with a 1-1 draw thanks to skipper Jack Holland’s header 11 minutes from time.
Workington may be the lowest-ranked side left in the competition but the Northern Premier League outfit will provide Bromley with another tough test.
Smith is hoping the shock his side received on Saturday will push them on to a much-improved performance at Hayes Lane.
He told BFCtv: “They beat Hartlepool and Weston-super-Mare in this competition so we knew it was going to be difficult.
“We made it hard for ourselves. We overplayed in some areas when we should have played a bit more direct. The saving grace is that we’re still in the hat.
“Full credit to our boys because they kept going in difficult circumstances but I was disappointed with the performance.
“It took the kick up the backside for the players to realise that this was a big game and it was a great chance for us to get through to the quarter-final.”
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