Mr Corbyn, in the city for his party’s conference, also visited a nearby foodbank and dropped off a donation.
A lifelong Arsenal fan, Mr Corbyn chatted with supporters and campaigners during his visit to the Fans Supporting Foodbanks mobile facility on Anfield Road.
One person he met affixed a sticker with the crest of Liverpool’s arch-rivals Everton on Mr Corbyn’s lapel.
It prompted one Reds fan to joke: “Jeremy, you’ve got a bit of bird shite on your lapel.”
Mr Corbyn later attended the match, won 3-0 by Liverpool, with local MP Dan Carden.
“I couldn’t say no when Dan Carden invited me to see Liverpool play,” said the Labour leader.
“Liverpool fans are united in their fight for social justice. I’ve long admired the incredible campaigning work done by the Hillsborough Justice Campaign.
Mr Corbyn added: “I had the opportunity to meet the Fans Supporting Foodbanks, supporters who are doing all they can to fight hunger and come together for the greater good of their community on match day.”
“But they shouldn’t have to provide this much needed lifeline for those struggling to get by.
“There is no place for foodbanks in Britain in 2018. We need to transform our economy so that it works for the many, not just for the few.”
Mr Corbyn was given a warm reception at his party’s Women’s Conference earlier today.
“Labour is the party of equality, the party of women, the party committed to measuring all our policies on their impact on women in society,” he told delegates.
The Labour leader kicked off his weekend with a visit to the International Slavery Museum on Albert Dock.
Additional reporting by Press Association