Firstly, ahead of tomorrow's encounter, he said: "I wouldn't say it'll be daunting for Rotherham. We''ve won four out of our last five at home and we're doing alright, but they'll come here and they'll be a tough proposition."
Coughlan will no doubt be up for the game and looking to impress, and despite only one home defeat all season and seven wins out of nine in the league, he's still cautous of the stiff test he may face.
"A lot of people talk about how false Rotherham's league position is with the points deduction. They've obviously done well in the cups and so on which took its toll on the squad. I've not seen them play but by all accounts they are playing well. They are a good team with a good manager."
Of the Shrews, he added: "Things are going along alright here, but I always want more and more I suppose. We're doing OK but it could be better, we need to get a good steady run and have a bit of luck with the injuries and with the refereeing decisions - we just need a bit of consistency in our performance as well.
"Losing at Blyth in the Cup was a kick in the backside for us. They were the best team and deserved to win on the day. I'm not a lover of cup competitions that's for sure! But our priority is to go up. Shrewsbury were 18th last year and we will improve on that.
"We have put a few results together in the League and haven't really hit top form. We haven't really clicked and haven't had a clean bill of health all season.
"We are just waiting on a couple of those factors to go our way and maybe we can get off on a run. We have shown it in fits and starts and now we have to try and hit top form and see what we are capable of."
He then went on to speak about the Millers second points deduction in as many years for exiting their CVA - "I was pretty annoyed with what the league did to us when I was there last year, but I enjoyed my time there. I loved it.
"That battle against adversity probably made the team stronger and we responded to everything that was thrown at us. It wasn't easy when young Stephen Brogan was injured. That was horrendous and I just hope he gets back to somewhere near where he was.
"We had the trouble with the administration and all that and if the league hadn't have done what they did then I'd probably still be there. I'm looking forward to seeing the lads this weekend."
Graham concluded: "From a personal point of view, I just want that promotion."