The Toffees midfielder hopes to chip in with a few more goals in the coming season and believes that the Goodison Park side can finish higher up the table
“More goals would be my main aim and obviously just to keep the performances going,” he told evertontv. “And hopefully the team can finish higher than last year.
"Everyone is buzzing to be back, everyone is looking like they are getting fit and the games come thick and fast now so we are looking forward to it,” he added.
The Derry born player excelled for the Toffees in a defensive midfield role, but revealed that he was initially signed by David Moyes as a 'box-to-box' midfielder.
“I was expecting to play as a box to box midfielder when I came. [The defensive role] just seemed to happen," he said.
“It is not a role I have been given, it is just what has happened in the games, but like I said before hopefully I can do a bit more next season.
“It does seem to be working as we have not lost in the Premier League since I came here," continued Gibson. "But obviously that is not all down to me.”
The Ireland international is critical of his performances in the first games for Everton, but says that scoring against Manchester City helped him settle.
“The first few games I probably wasn’t as good as I was in the last few games,” he said. “But the goal against [Manchester] City settled my nerves a bit, got me into my stride and playing well."
He added: “I probably didn’t (expect to play as much) to be honest. I expected to get some games but I didn’t expect to start every game I was fit and available for, which I was delighted with.
“Obviously when I came in the team was on a roll, everyone was playing well and it helped me out a lot. "So hopefully we can keep going from the way we played last year and kick on,” concluded Gibson.