Damon Albarn, Graham Coxon and Alex James formed the band while they studied together at London's Goldsmith's college in 1989. Drummer Dave Rowntree was also recruited for the group.
A source told the Daily Star: "Blur did a secret gig at Goldsmith's before their greatest hits tour back in the day, so it seemed like the ideal place to iron out any creases in the set before they hit Hyde Park.
"They are looking at slotting something in around June back at their old art stomping ground. But they're also talking about some other warm-ups around the UK."
Blur announced that they were reuniting for live gigs earlier this month.