The former West Ham midfielder said after the game that talks are ongoing, but he is hopeful that speculation regarding his future will be put to bed in the near future.
"We are talking and I really hope that we can get the right end to it because everyone knows that I want to stay here," Lampard said. "The club have been brilliant."
Lampard has now won every domestic and European competition with the Blues following the dramatic 2-1 victory over Benfica at the Amsterdam ArenA.
At the turn of the year it seemed this would be Lampard's final year of a long spell at the west London club, but talks between the 34-year-old and the Stamford Bridge hierarchy have progressed well of late. Upon being asked when he thought negotiations would conclude, the England international said: "Soon, I hope."
Chelsea had hoped to mount a successful defence of their Champions League crown this season, but they were eliminated from the group stages. And while the club looks set to finish
The same Chelsea fans who goaded their Tottenham counterparts with "Thursday night, Channel Five" taunts earlier this season, were revelling in their victory, glad that the team had ended a rollercoaster season by adding more silverware to their trophy cabinet. And although the Blues have enjoyed success in the Barclays Premier League since Roman Abramovich took over in 2003, this term they look set to finish third.
Lampard still thinks the club's season should be viewed as a success, though.
"It has been a great season for the club," he said. "It is huge (to win the Europa League). Last year was incredible. We had fought so many years to win the Champions League so that was an absolute stand-out night for us but this year you could feel the buzz in Amsterdam."
He added: "We didn't want to go in to the Europa League. We wanted to stay in the Champions League this year but we have shown a great determination to win it from the moment that we have been in it and when you look back now, and you've got a full set (of domestic and European medals), it makes you very proud."
Source: PA
Source: PA