The 32-year-old midfielder is now in his 11th season at Parkhead since signing from Hibs for £4.4 million in 2007 and according to reports, Brendan Rodgers’ former side have been sounded out over a pre-season date in July or August.
Brown is on track to become the first captain in Scottish football to win a “double Treble,” and was honoured with a testimonial dinner earlier this month.
Both Celtic and Liverpool are understood to be holding talks over possible dates, and if a fixture is set, it would be the first time Rodgers has faced the Reds since he was replaced by Jurgen Klopp in October 2015.
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The two teams have faced off six times in European competition since the mid-1960s, with Liverpool winning just one match, drawing three, and losing twice.
Martin O’Neill’s Celtic side defeated the Reds 3-1 on aggregate during their run to the 2003 UEFA Cup final, while Liverpool progressed on away goals in September 1997 after a 2-2 draw at Parkhead and a goalless draw at Anfield.
The sides met in Europe in 1966, with Celtic winning the first leg 1-0 and the Reds turning it around to win 2-0 in the second leg.
Brown has made 461 appearances for the Hoops, scoring 37 goals, and also holds the club’s record for number of games played in Europe.
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