The Chelsea star is currently tied down to a long-term deal at Stamford Bridge and the English champions are ready to offer him fresh terms following their successful defence of The Premiership title.
However, with Lampard's partner hailing from Catalunya - a move to Barcelona has always been mooted as possible option for the 27-year-old.
Having spent the weekend in Spain, Lampard admitted that a move to Camp Nou would be something he considered in the future.
"It would be a dream to come to Barca," Lampard told El Mundo Deportivo.
"But Chelsea has offered me a renewal, and I am very proud of that and it shows they have confidence in me.
"In addition the team is being reinforced and will be even more competitive and will be able to aspire to everything."