The midfielder scored twice to lead the Blues to a 2-1 victory over Everton but insists that he is simply concentrating on his football despite the speculation surrounding him
Returning to Chelsea's starting XI, Lampard saw his team go one goal down in the second minute to a Steven Pienaar strike before scoring a goal either side of half-time to push them back into third place.
The victory marks a fourth successive Premier League win for Rafael Benitez's team but speculation continues to surround Lampard's future, with the 34-year-old midfielder eligible to sign a pre-contract agreement with foreign clubs from January.
"I just hope [the New Year] brings me playing in a winning team," he told Sky Sports. "I keep trying to give my best like I've always done here and I'll continue to do so.
"I'm enjoying playing, I was injured for a while and I know there's a lot of speculation and talk but for me, it's all about the 90 minutes there."
He added to the BBC: "We haven't been talking [about a new contract] in the last couple of weeks and I'm just concentrating on playing. Playing games gives me enough satisfaction, then what will be, will be."
Lampard reserved praise for the Blues supporters, who urged Benitez to "sign him up" - in reference to his expiring contract - during Sunday's clash on Merseyside.
"They've been amazing and they are the club," he continued. "From the minute I came here, I've said it a million times - they've been behind me and I've always got Chelsea in me for life.
"They back their team and they back all the players in the team at every match, so I can't thank the club enough."
The two goals Lampard scored put him just one goal behind the club's second all-time top goalscorer, Kerry Dixon.
Commenting on the result, the England international added: "It was a huge, huge [effort], especially after the sloppy start by us. In the first 20 minutes we could have been more than one down, we weren't reacting to them and their strengths.
"This is always a difficult game, the way they're playing this season particularly, and the lads dug in, we got a little bit of luck, but you make your own luck and I think we deserved to win it.
"Coming to places like this, you know there's not normally many goals in it, so it's important for us."