The Departed actor portrays Jack Regan in a remake of the 1970s cop drama The Sweeney, a role which was originally played by the late John Thaw.
Winstone explained that he and his co-stars and crew have attempted to make a film that is different to the original series.
"Five years ago they came up with the script and I thought it was a good idea, I love the show," he told Daybreak.
"Eventually I thought, 'What am I doing here? This man was an icon and I was lucky enough to work with the guy, and I really liked him and he was one of my favourite people'.
"Why do I think I'm going to do better than that? Well you can't. You have to go and make your own film. The only thing that's the same is the fact that it's called The Sweeney."
Winstone also spoke about his role as the dwarf Gort in Snow White and the Huntsman, starring Kristen Stewart.
He said: "The first time they contacted me it did not attract me at all. Then I found out you can work with Bob Hoskins and all that, and they're part of your gang. It was a laugh."
The actor said that the fairy tale adaptation has a "moral message" at the heart of the story.
"It's going back to the old stories. It's that thing of fear and envy and jealousy of beauty. It's got a moral message in it."
Snow White and the Huntsman is out today (Wednesday, May 30) in the UK and on Friday, June 1 in the US.
Ray Winstone will appear opposite Ben Drew in The Sweeney, which is released on September 12.
Watch the trailer for The Sweeney below: