Kenny Jackett's men are bang in form and have won their last three matches so will pose a stern test for the East Londoners.
Former Hammers star striker Ashton was forced to retire from the game through injury ages just 26 cutting short a hugely promising career with the Irons and England.
Ashton played a key role in helping West Ham to that epic final against Liverpool in 2006. He scored that day but saw Steven Gerrard dash his dreams of lifting the FA Cup.
'West Ham can win it'
"The magic really seems to have come back to this competition and West Ham are one of those clubs which is big enough to take advantage of others fielding slightly weakened sides and go on and win it," Ashton told whufc.com.
"Obviously to get so close to winning it with West Ham in 2006 was great in one sense, but heart-breaking in another.
"This weekend, a home draw is what you want, and with it being against a lower-division side there is a good chance to win it."
Bilic squad boost
Bilic has endured one of the worst injury lists in the top flight over Christmas losing seven of his first team starting XI all at the same time.
But players are slowly returning and although key playmaker Manuel Lanzini suffered a recurrence of the injury which kept him out for over a month against Liverpool, star man Dimitri Payet is back in action.
The former Croatia boss could ring the changes to give players like James Collins, Cheikhou Kouyate and the like a much deserved rest with a three-game week, including a trip to Bournemouth on Tuesday night coming up.
The likes of Carl Jenkinson, Alex Song and Mauro Zarate are waiting in the wings.