McCall's men will head to the Wham Stadium on the back of Saturday's goalless home draw with Port Vale in their opening day fixture of the new 2016/2017 campaign.
The City chief says he isn't planning on making too many changes to his side for the Accrington tie, with new loan signing Josh Cullen expected to be on the bench at best against Stanley.
Nathan Clarke and Timothee Dieng are likely to miss out altogether once again after missing Saturday's match with Vale due to calf problems.
McCall said: "We know from past experiences that going to Accrington is always difficult. John Coleman (Accrington boss) gets his sides playing well and working hard.
"Accrington were unlucky last season, they came so close to getting promoted, but they bounced back with a late win over Doncaster Rovers on Saturday.
"That shows to us that they are resilient and they go to the end.
"This is a game we naturally want to win for ourselves, for confidence levels, for the fans, and to progress further into the competition. It would be nice if we could go on the start of a little cup run.
"If we can play like we did for the first hour or so against Port Vale on Saturday, I'll be happy.
"I would have maybe thought about freshening things up for this one but we simply don't have the players available at the moment.
"We don't have a threadbare squad though, we only probably need two extra players on top of what we have. Once we get our players back from injury and up to speed, we will have options once again.
"Thankfully, everyone came through Saturday unscathed so we will have little look at things ahead of the game to see which sort of side we are going to go with.
"Nathan (Clarke) and Tim (Dieng) will be assessed again on Thursday to see if they have any chance of making next Saturday (vs Peterborough United).
"Calf problems can take a little while to get right and we don't want to push them back too soon.
"They definitely won't be involved at Accrington but we are keeping our fingers crossed for Peterborough."