Only goal difference is keeping Spurs out of the top four after they extended their wining run to seven victories in eight games with a 3-1 triumph over Fulham.
Manchester City and United are positioned first and second in the table, but King insists Tottenham are ready to restore pride in the capital.
''I hope we can become the biggest challenger to the Manchester teams,'' he said. ''We're still learning, we're still taking one game at a time, but at the moment we feel we can win every game we go into.''