The 28-year-old sealed a £5 million move from Manchester City this week and hopes to build on his tally of 18 goals he achieved whilst on loan at White Hart Lane last season.
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"Last year was quite intense," Adebayor told Spurs’ official website. "And this season every game will be difficult as you saw at Newcastle on Saturday. They have a good team.
"Manchester United, Manchester City, Chelsea, Arsenal, Tottenham and Newcastle will all be fighting for the top four spots.
"It’s not going to be easy but as a footballer you just have to keep doing your thing and see what happens at the end of the season."
Financial matters delayed Adebayor's permanent switch to north London from Manchester City and the Togolese forward was delighted to finally seal his return.
"I am pleased to be signing for Spurs on a permanent basis after finally agreeing my departure with Manchester City," he added.
"It may have taken longer than expected but I am delighted to be back at Tottenham Hotspur. I really enjoyed my time here last season and I am hoping we can achieve great things together again."