The World Cup winner was a constant menace to the Spurs back-line.
Lampard said, "You can't expect things to work out, strikers to score, whoever to play perfectly every week or not.
"I think the way he played, everything he did… We had two very energetic forwards around him and I think sometimes with Oli if we have to slightly adapt because of what he brings, which is different to Tammy and Michy, then we adapt. That's part of Oli and part of the team around him.
"He's always been engaged, even when he's not played regularly. I said it in the window, he's been absolutely fantastic with me from the start to now, and that's why he can put in those performances when he comes in.
"Personality in the dressing room, on the pitch; quality to finish; selfless in his ways; strong. He's been around, won the World Cup. He's very good with the younger players around him, he wants to train at a high level every day, he understands his game, his attributes and how important they can be, and he gave everything against Tottenham.
"The way the team worked helped Oli and Oli helped the team. That's how we can look forward and to have competition of strikers scoring goals is what we've been lacking – we've lacked goals from forward areas, not just from strikers but across the front, so today feels good."