The goalkeeper believes Rangers' players are aware of the expectation on their shoulders.
Gilks is one of eight new faces at Ibrox this summer, as manager Mark Warburton has sought to improve his squad.
The Gers boss has specifically looked to add experience to his squad as they return to the Scottish Premiership next season.
They head into the division with huge expectation on their shoulders, with the fans hoping that Warburton’s side can compete with Celtic for the title.
And Gilks says he can sense that the current playing squad is more than aware of the expectation surrounding them.
“I can feel it, when we’re training they know the expectation going into the league as champions,” he told rangers.co.uk.
“Now they have to kick on again because a lot is expected of Rangers Football Club. I can sense the lads sense that.”
It now remains to be seen whether Rangers can compete for the title next season, with Celtic unlikely to give it up easily.
The Bhoys are under new management, having replaced Ronny Deila with Brendan Rodgers, and will be keen to mark his first year in charge with a sixth successive title.
However Rangers will be confident they can challenge, with their win over Celtic in the Scottish Cup semi-final showing the gap between the two sides may not be that great.