Spurs play at Norwich on Tuesday before heading to Swansea on New Year's Day and then play West Brom on January 3 at White Hart Lane.
"We have to do whatever it takes to win those games if we are going to finish in the top four. Otherwise, forget about it," the striker said.
Spurs' season started off poorly as they lost heavily to both Manchester sides before recovering to go on an 11-match unbeaten run that propelled them to third in the table.
That run came to an end at Stoke, where they were unlucky not to come away with at least a point after a series of harsh refereeing decisions. They recovered by beating Sunderland and earning a creditable draw against Chelsea, and Adebayor said: "We want to go on another run.
"We have to keep our head up, keep doing our thing, keep enjoying ourselves. Now we are going to play Norwich on Boxing Day. We have to do everything we have to win that game.
"Then we have Swansea away, I'm not saying they are going to be easy games but if you want to be in the top four those are the types of games that you have to win home or away."
Adebayor was been on the end of two disputed refereeing decisions recently. The striker had an effort against Stoke ruled out for offside and a similar decision went against him against Chelsea after turning the ball home in the second half.
The Togo striker has proved a controversial figure at times during his eventful career, but he insists it is important to remain calm when decisions go against him.
"At the moment everything is going against me from the point of view of referees, but that's football to be honest," the 27-year-old said. "I just have to keep laughing and enjoying myself. We are all human beings. We can't start jumping on referees. He got it wrong against Chelsea, but that's part of football."
Source: PA
Source: PA