McCartney, who is currently promoting the re-release of his previous two solo albums, told The Sun he is a fan of Damon Albarn and Jamie Hewlett's band and that they've spoken about hitting the studio together.
Speaking of the Gorillaz, The Beatles legend admitted: "We have kind of talked - nothing serious but I like what they do. It's got near a couple of times but we never had the time."
Sources have claimed that this time around, a collaboration between the Gorillaz and Macca is more likely, and that we can expect something from them in the near future.
It is thought the former Blur frontman first approached Sir Paul about a duet when he presented him with a Q Magazine Icon award a few years ago.
The insider revealed: "Damon originally brought up the idea of doing something with Gorillaz at the Q Awards and they have been trying to sort something since. "
They added: "It never worked out on the last album, Plastic Beach, but things are looking good for something together in the future."
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