The Britpop group - comprising singer Damon Albarn, bassist Alex James, guitarist Graham Coxon and drummer Dave Rowntree - included the ballad 'Sir Elton John's C**k' on their 'Blur 21' box set, which was released last year and Alex admits he was embarrassed when the 'Rocket Man' hitmaker asked him about the track.
He said: ''I bumped into Sir Elton and he said, 'What's all this I hear about you and my c**k?'
''I didn't know him well enough to tell him the proper answer.''
The 43-year-old musician claimed the track was given the name because it was ''too sentimental''.
He added to the Daily Star newspaper: ''We wrote this song but realised it was too sentimental. One of us muttered, 'That's Elton John's c**k.'''
Alex has been playing bass with Florence + The Machine, New Order's Bernard Sumner and Dexys as well as working with Blur, and he recently revealed that taking a break from his family life on a cheese farm has been a welcome change.
He said: ''Going on stage is such a rush. The travelling is exhausting but it's a huge fountain of energy up there.
''Besides, I've got five kids, so it was nice to just sit around in dressing rooms.''