"I was a bit disappointed I didn't get the ball as much as I wanted," he admits, "and do as much damage as I would have liked, but it is a team game at the end of the day - and it was a valuable three points for us."
Luke was impressed by the two full debutants, Calum Davenport and Carl Fletcher, and adds:
"The new boys Fletch and Calum did brilliantly for us - they both excelled, I thought.
"Calum won everything in the air and Fletch got his tackles in, so it was two good performances."
He is looking forward, too, to seeing what Malky Mackay, a late substitute at Bramall Lane, can do over 90 minutes as well.
"Malky has the experience of winning this division; he has trained with us and looks like a really good defender," he says.
Luke does not share Neil Warnock's thoughts that Alan Wiley had a poor game in charge and he says:
"I thought the referee was quite fair, really - he gave decisions both ways and had a good game."
Of the match overall, he adds:
"It was a great result for us; it was disappointing when they got back in it but Teddy has come up with a great strike with his left foot and it has deflected in to give us a fantastic three points.
"We started really well and could have had three or four in the first half apart from Marlon's goal - but we took our foot off the pedal a little bit and they put us under pressure.
"They are a big strong team and get crosses in the box, but we defended really well."
Luke is looking forward to a bit of home comfort now and he concludes:
"We have three home games coming up now after a really good result at one of the toughest places to come."