The II Figures reworking of the track is available as a free download for the next seven days via The Burning Ear.
"#IsThisLove … @iifigures remix, yours to download 4 free for the next 7 days only," Grimshaw confirmed today (May 10) on Twitter.
The original version of the song was unveiled last month and a music video for the track followed soon after.
It is released via RCA on June 3 and is followed by Grimshaw's debut album Misty Eye on August 13.
Grimshaw was recently added to the bill of the Great Escape 2012 festival in Brighton, which takes place from today until May 12 in Brighton.
The singer was eliminated in the sixth week of The X Factor UK in 2010 after losing the public vote to Katie Waissel when the panel was deadlocked.
His album has been recorded with songwriter/producer Jarrad Rogers, who has previously worked with Lana Del Rey and Tinchy Stryder.