The England international signed for Andre Villas-Boas’ side for a fee of around £7 million from Bolton but was left out of the team that drew 0-0 with Norwich last weekend.
However, with the team currently away in Mallorca for a training camp, Cahill is now feeling fully immersed in the squad after a hectic few weeks.
“It has been a mad couple of weeks for me hasn't it?" Cahill told the club’s official website.
"I came in on the Tuesday, trained for just a few days before the game at Norwich and then we came straight over on a plane to Mallorca.
"Training has been really good and it has been enjoyable to get to know the lads - I know everyone a lot better now."
Cahill joined his team-mates on the trip to Mallorca for warm weather training and believes the time in close proximity to his colleagues has helped him settle into the squad.
He added: “The trip has definitely helped me.
“I have only been here just over a week, so I've obviously still got to get to know the lads a lot more than I do now, but it's been great, because we've spent most of the time together and I've got to know them a lot better than if I was back in England.
"There are a lot of different characters here, definitely - most of all because of all the different nationalities.
"That's the one thing that's really different here and in that sense it's really good - there are some entertaining characters and they're great guys."