Spurs enter the encounter at the Emirates Stadium having had a marginally better start to the season than their neighbours.
"Arsenal are at home, so the pressure will be bigger," Adebayor told The Sun. "If we score the first goal, the home fans will jump on their back.
"When Arsenal do not play with any confidence they are terrible. But when they are playing with confidence they are very difficult."
Adebayor left the Gunners for Manchester City in 2009 for around £25m.