The Portugese defender joined the Royals at the beginning of the transfer window from Sporting Lisbon, where he had previously been captain.
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Carrico told ReadingFC Player: “I hope I can pull on the Reading shirt in the next game.
“Like I said before it will be a dream come true. I’ll be training hard in the week to prepare for the next game and I hope I can play.
"We have spoken a bit, and he [Brian McDermott] has told me what he expects of me on the pitch. I will work really hard in training and show my qualities and what I can do.”
The 24-year-old will become the first Portugese player in the club's 142-year history to pull on the blue and white jersey.
He added: "I am proud to be the first player from Portugal to play for Reading - so I will have to show the Portuguese quality!
“To play for a team in the Premier League is a dream come true.
“I'm very happy and glad to be here, and I hope I can help my teammates to go up the table."