The rapper fell out with his former Roll Deep bandmate six years ago, and the pair have not spoken to each other since.
However, Wiley has revealed that he is hoping for the feud to eventually come to an end, and that he would even like to reunite for a joint album.
"In an ideal world, me and Dizzee would end this and make a grime album," he told the Daily Star.
"I'm losing patience. I've tried to reach out but got no reply."
Roll Deep member Target echoed Wiley's hopes for a reconciliation back in 2010.
Wiley's new single 'Can You Hear Me (Ayayaya)' is set to reach the top five in the UK singles chart this Sunday (November 4).
The track is expected to be featured on Wiley's upcoming tenth studio album, which is due for release in February 2013.
Watch the video for 'Can You Hear Me (Ayayaya)' below: