The Chelsea boss says he is focused only on keeping the England midfielder fit and firing and revealed that Petr Cech has an ankle injury, but he refused to comment on Demba Ba.
Everton took the lead in the second minute through Steven Pienaar before Lampard scored a goal either side of halftime to seal the three points for Chelsea. The 34-year-old Lampard is able to sign a pre-contract agreement with a foreign club from January, but Benitez claims he is focused solely on keeping him fit and in form.
"My job is to keep Lampard fit," Benitez told Sky Sports. "He is under contract, fully committed and working hard, and that is it. My job is to coach the players, and keep winning games and keep my opinion."
Benitez said that the extent of the ankle injury to Petr Cech, who was substituted at halftime, is unknown, and that the goalkeeper will undergo a scan. He was replaced by Ross Turnbull, who kept a clean sheet in the second half.
Benitez refused to comment on reports suggesting that representatives from the club will meet with Newcastle striker Demba Ba in order to tie up a January transfer for the Senegal international.
When asked if he could speak regarding Ba he replied: "No, because we don't talk about this business, we had a very important game today."