With Trevor taking the next six games until Alan Pardew takes over, Kevin says:
"Trevor must have been under pressure to take the job but we just get on with it; it was obviously difficult circumstances with Glenn leaving.
"We have all rallied round, Trevor has put his ideas in, and we have ground out results.
"It is a good habit, winning games, and I don't think anyone is complaining he is staying on - certainly not the crowd.
"They were singing his name on Tuesday and love him here - he is a West Ham legend and I suppose he will keep on doing what he is doing, winning games, until the situation with Alan is resolved next month."
The players, though, are obviously doing their bit as well and Kevin adds:
"I think it is a bit of both; I think we all sat down as a team and as a unit and realised we had let a lot of people down at Rotherham - Glenn, of course, ourselves, and the fans who had travelled all that distance to watch the game.
"It was awful and I think we bounced back, showed our character, and have been professional with four wins on the spin."
As for the win at Crewe, he says:
"We started really well like we did at Reading, and we got on top; the difference is that we scored a couple of goals early doors and it settled the nerves - it was a great result for us.
"Perhaps we took the foot off the gas a little bit when we were 3-0 up and there were more goals to be had, but it wasn't to be and it was another great away win.
"It is a good habit to be winning games and before you know it you find yourself at the top and are hard to catch."
Kevin is still looking for his first Hammers goal and adds:
"I thought I could have got one on Tuesday; it was a great ball in by Matty, I took my eye off it, and the keeper got there.
"I would love to score for West Ham and get off the mark but the most important thing is winning games and I couldn't care less if I don't score all season - as long as we get promoted.
"It doesn't matter who scores - it is a matter of winning games - though it obviously gives strikers confidence when they do score."
Ah, yes, the strikers, and the foolish notion that David Connolly and Jermain Defoe don't pass to each other.
"We have had a little laugh about that; if they feel they have a good chance of scoring they are going to do it and if not they will pass as you saw at Crewe.
"It is just the papers making something out of nothing.
"They could have had a couple each on the night; Conners got his but J has scored a couple already and you could see how dangerous they were," he says.
"Their ability is there for all to see and their work rate is frightening, really; they always show for the ball and give us options - okay they may not be the biggest, but they are brave as well."
And so to Gillingham; speaking ahead of the game, he says:
"It is another tough game; they base themselves on work rate and they are going to get stuck into us so we have to match that first and foremost.
"If we do that I hope someone will nick one for us."
* You can listen to interviews for free by clicking the Audio link.
You can hear Kevin's thoughts on the win in the much anticipated game against Reading by doing just that.