Pressure is already mounting on the former Chelsea manager just two months after taking over from Rafael Benitez.
Everton have been dragged into the relegation battle after suffering a 3-2 defeat at Burnley on Wednesday.
The Toffees are now just one place and one point above the drop zone ahead of this weekend's fixtures.
Lampard has lost seven of his nine league matches since replacing Rafael Benitez in January, including all five away games.
"I know the rules. In my relatively short managerial career I spent 18 months at Chelsea where I was probably two games from the sack," Lampard said ahead of Everton hosting Manchester United on Saturday.
"Maybe that's a symptom of football in the Premier League. That's pressure, that's fine, you sign up for that.
"I have no problem with that in terms of speculation. We are a huge club, people want to talk about it. I don't waste my time, I just do my job."
"The fans have a passion, they live and breathe this club. I'm here for five minutes in football terms and I live and breathe the club and I want us to stay in the league," Lampard said.
"I have to handle that because I have to do my job and I can't tell the fans how to be, I can only ask them to turn up tomorrow and be absolutely behind us - as they have done since I've been here.
"Results are the turning point of things. If we win on Wednesday [it's a] seven-point buffer to Burnley, six points to Watford with a game in hand. If you don't it flips in the other direction.
"If we get caught up in that hysteria we are caught up in it. We have a job to do tomorrow."
