Allardyce worked with midfielder Nolan at Bolton Wanderers and West Ham United, and with Barton at Newcastle United.
The 60-year-old has revealed that he does not rate midfielder Barton, who is now on the books of the Championship outfit Burnley, and considers him a “liability”.
“I signed Joey Barton to liven things up at Newcastle and he did that - though not in a good way,” Allardyce told The Sun. “Joey could blow anytime, anywhere. You couldn’t read him.
“He got injured not long after joining us and went into a decline. He was then arrested for assault, having asked permission to go home to Liverpool for Christmas because his nan was ill.
“He was sentenced to six months in prison. A few years later Kevin Nolan tried to get me to take him to West Ham, but I wasn’t interested. I won’t have anyone tell me Joey Barton is a character. He’s a liability.”
Barton started his professional career at Manchester City and moved to Newcastle in 2007. The Englishman joined Queens Park Rangers in 2011 and moved to Burnley on a free in the summer transfer window after leaving QPR at the end of last season.
The 33-year-old will play an important role in Burnley’s push for promotion back to the Premier League, with the Clarets having suffered relegation to the Championship at the end of the 2014-15 campaign.