The League Two side travel to the King Power Stadium in search of a major Premier League scalp, having won two and drawn two of their first four domestic clashes
The League Two side travel to the King Power Stadium on Tuesday after two wins and two draws from their opening four league games and a 1-0 victory over Championship side Blackpool in the first round.
It has been a great start for Mellon, who replaced Michael Jackson following the club's relegation from League One last season, but he knows a first-ever meeting with the Premier League new boys will provide a major test of their mettle.
"It's a game we're looking forward to," he told the club's official website. "It's great that the club have a trip to a Premier League side to look forward to so we'll see where we are on the night.
"Hopefully we'll give a good account of ourselves."
Nigel Pearson's side have performed admirably in the first two matches of the Premier League campaign, picking up a late point against Everton and holding Chelsea for over an hour before losing 2-0 at Stamford Bridge on Saturday.
The City boss is likely to rotate his squad for the second round tie to give some of those players yet to feature in the league a chance to impress.
Marc Albrighton's recovery from a groin strain puts him in line to start having come on as a late substitute on Saturday while another new signing, Ben Hamer, could start in goal to allow Kasper Schmeichel a rest.
Dean Hammond was substituted during the defeat to Chelsea with severe cramp and so may not be risked while Matthew Upson (ankle), Danny Drinkwater (hamstring) and Matty James (calf) did not feature.
Mellon faces a selection headache after captain Liam Lawrence was sent off and forwards Ashley Vincent and Andy Mangan suffered injuries during Shrewsbury's 1-1 draw with Northampton Town on Saturday.
Mangan has scored three goals in four leagues games since joining the Shrews from Forest Green Rovers in the summer.