Warburton took over at Rangers last summer, and he has made an impressive start with the Glasgow club.
Warburton guided Rangers to the double last season, and helped them return back to the top flight.
Since Rangers’ promotion has been confirmed, Warburton has been busy making signings.
And Forrester, who only moved to Rangers in January, admits that the new arrivals could be in for a shock when they play at Ibrox for the first time.
“Even the manager said that when he came up, he didn’t realise until he got to Scotland and walked out at Ibrox what it is like,” Forrester revealed. “As soon as the new boys feel that they will be hungry for more.
“They have played at some great clubs but Rangers fans are unique. They get right behind you everywhere you go. They talk to you and wish you well and they will thrive off that.”
Rangers have made eight signings already this summer, but Warburton is yet to hand any of his collection of new players a start.
However, that could all change tonight, when Rangers take on Annan Athletic in the League Cup.
Rangers are expected to start a number of their fresh faces, with Niko Kranjcar, Josh Windass and Clint Hill all in contention for a place in Warburton’s first 11.