"Kevin's reintegration has been a seamless process and it needed to happen. Everyone was wondering how it would go and whether it would be as easy as it has been," the Daily Mirror quoted Swann, as saying.
"A lot of credit for that has to be given to Kevin for the way he has come in. It's just business as usual and the dressing-room is a very happy place this week," he added.
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According to the report, Swann believes that after the furore over a set of 'controversial texts' in recent months, only a united England can win in India.
"And that's what we need to be if we are going to have a chance of beating India over here. We need to be a very united dressing-room," he said.
Pietersen earlier had been sidelined from the England team after he had sent a series of inappropriate texts about his teammates and then captain Andrew Strauss to players in the South African team.