Smith and Murphy, along with recently-sacked Carlisle boss Greg Abbott, were studio guests for Sky Sports News Radio's Football League Hour on Thursday night, and Leeds' two summer acquisitions could not speak highly enough about their new club.
"We've been happy (with the start to the season)," Smith said. "We were disappointed against QPR, I don't think it's a game we should have lost, maybe a draw would have been a fair result, but it's been a positive start.
"There's definitely room for improvement, but as a squad we've got terrific team spirit. I've never been with a group of lads that are so together - I'm sure a lot of people say that but I really feel like we have that at the club."
Murphy added: "From day one of signing the players have been first class with both me and Matt, and obviously the coaching staff as well, but I've not been in a dressing room where there's that kind of team spirit.
"Everyone is willing people to do well, and I actually feel that they mean it. There's people wanting you to do well whether you're fighting for the same place or not."
Prior to the Football League Hour, Murphy told TEAMtalk he revealed Leeds were targeting at least a play-off spot in the Sky Bet Championship this season.
"Promotion is a realistic aim for this season, whether it's automatic or in the play-offs," he said. "The manager has drilled it into us that we've got a good enough squad to give it a go.
"QPR are the team to beat. When you look at their squad I'm sure they'll definitely be up there. But it was a tight game when we played them (Leeds lost 1-0). We weren't far off them."
Murphy admitted it was a chat with Leeds boss Brian McDermott that persuaded him to join the club over Blackburn and Wolves, and he was delighted to pay off the first instalment of his seven-figure transfer fee with the winning goal on his debut against Brighton on the opening day of the season.
"I liked what the manager had said about his plans for the future and obviously the size of the club and the fanbase attracted me too," Murphy said on his decision to move to Elland Road.
"I don't really think about [my price tag]. It's nice that someone's willing to pay money for you so if anything it gives you confidence. Hopefully I can repay the club with some good performances.
"To score on your debut in the 94th minute was the best feeling I've had in a football shirt. It's a bit of a blur to be honest and I'm still getting stick now for the celebration. But it was a great feeling."
To hear house-mates Murphy and Smith discuss their cooking and cleaning arrangements, as well as extended chats with Abbott, Gary Caldwell, Stephen Ward, Clint Hill, Kevin Davies, Karl Robinson, Shaun Derry and Guy Branston, download the latest Football League Hour.
Tune into Sky Sports News Radio every Thursday from 7pm for more exclusive interviews from the Football League.