"I would love to build on last season and do it at the top level," Abraham told the club website.
"Everyone has seen me do it in the Championship, but I'd love to do it in the Premier League.
"People will be surprised because I'm so tall, but I do have quick feet and I have good pace to threaten defenders. Although I am tall I also like have the ball played into my feet."
Abraham is confident he can quickly adapt to Swansea's style of play under manager Paul Clement, who worked with the 19-year old during his time at Stamford Bridge between 2007 and 2011.
"When the gaffer (Clement) came round to my house he described what he wants from this season," Abraham added. "It fits my style of play as well.
"It is a nice place to get your head down and really focus on your game. That's what I want to do this season."
Swansea, who finished 15th last season, open their league campaign with a visit to Southampton on Aug. 12.
(Reporting by Hardik Vyas in Bengaluru; editing by Sudipto Ganguly)
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