The Mail on Sunday says Lampard is the owner of Andres Iniesta's Barca shirt, the one the Spaniard wore in the Champions League semi-final at Stamford Bridge last season in which Iniesta equalised in injury-time to knock out Chelsea.
That moment is still considered the most dramatic of Barca's season, despite the fact they went on to win the Champions League, the Spanish league and cup.
Asked last week to produce the shirt, Iniesta said: "I don't have it - I gave it to Lampard. That moment was the happiest of my life. Naturally, I was crying, as were all the people there. It was overwhelming."