The Brazilian attacker has been at the Ukrainian side since 2010 and has netted 26 goals in as many games in all competitions this season, seeing him attract a lot of interest from other clubs.
Liverpool have already made a £24 million offer for Teixeira , while Chelsea are also said to be interested.
And the 26-year-old feels it is time to make a move to a bigger league and says he has already told Shakhtar of his desire to leave.
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“I would like to move in this transfer window and have told Shakhtar that," he told Globoesporte. "They have received a very good offer and they are working on a solution.
"But if I don’t go now then I will leave in the summer. After six years in Europe and with Shakhtar we are ready to move and I have spoken to my wife and daughter.
“It is my desire to move to a big league and I know that the English league is very strong. I am ready and I know that I will grow up a lot there.
"I am aware that two big clubs such as Liverpool and Chelsea are interested but I haven’t given my word to either of them.
“I am not ruling out other leagues but I do want to play in the Premier League. In my mind, it is the strongest in the world. I want a challenge and to further my career there.
"My aim is to move to a big club so that I can well there and get a place in the Brazil squad. Everyone knows that it is hard to achieve and I need to leave here to achieve that goal."