Chelsea were held by their London rivals on Saturday, with Gylfi Sigurdsson's opener being cancelled out by John Terry before Fernando Torres' sending off stunted the visitors' charge for all three points.
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"They’re a very good team," Lampard told reporters. "They are going to be looking at winning the league.
"That’s what you have to do when you spend that money. We’ve lived for the last eight years with that pressure, year in year out, and that’s what Tottenham have to deal with if they want to win the league.
"You have to get a level of consistency and it’s not easy. It's a difficult league."
Tottenham currently sit third in the Premier League standings, level on points with second-placed Liverpool after six matches - two points better off than Chelsea.