It follows News of the World claims the Blues were willing to make him the top earner at Stamford Bridge.
The newspaper says the deal would have eclipsed the £121,000 a week given to Andriy Shevchenko and Michael Ballack.
England midfielder Lampard, 29, has two years left on his current contract and said last week he was content to see out that period of time at the club.
"They don't have to offer me anything so I'll just carry on," he stated.
However, Lampard added last month that he would have liked the club to have offered any such new deal in early June.
"In an ideal world, it would have happened three weeks ago but it is not an ideal world," said the Blues star.
"It feels strange. It is something I am trying to keep my mind off. You get on with it. I am not surprised by it because nothing surprises you in football."
Under Fifa rules, Lampard can buy out the remainder of his contract but it was reported in February that he was unlikely to take that course of action.
The £15m-rated player has been linked to Barcelona and Juventus, who are now managed by former Chelsea boss Claudio Ranieri.
Lampard enjoyed his most prolific season in front of goal for the Blues in the 2006-2007 campaign, scoring 21 times.
http://news.bbc.co.uk/sport1/hi/football/teams/c/chelsea/6258890.stm
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