The 34-year-old made his 500th league start for the Blues against Aston Villa and became the club's all time leading goalscorer in the top division with a second half strike.
The Blues midfielder has six months remaining on his current contract at Stamford Bridge and has been linked with a move away from the west London outfit. But Lampard says he isn't ready to walk away from the club and insists he will fight to keep his place.
"I'm not concentrating on that [contract negotiations], I'm just going to continue playing and go game by game," he said to Sky Sports after his team blasted Aston Villa for eight goals on Sunday. "I'm just pleased to be fit. I'll keep trying to enjoy my football. I believe I have a lot in me to go, so I'll just try to show that.
"I don't want to get too deep into that, the club's position is what it is and I'm just here to play football."
Lampard celebrated his 500th Premier League start with his 190th Chelsea goal, becoming Chelsea's all time leading goalscorer in the top division in the process, overtaking club legend Bobby Tambling in the process.
"It means I'm old!" he joked after the game. "It means a lot, the starts are great, I've been very fortunate to play for a great club. The managers I've had, the teammates I've had around me, I'm very proud of that.
"The goals record as well, to beat such a great man such as Bobby Tambling, he's a legend and a lovely bloke."