The winger will link up with the Blues once his loan deal with Borussia Dortmund concludes at the end of the season.
"With the speed of the Premier League, I think Christian Pulisic will fit in and settle in well. He adapted very well as a young player in Germany and in the Champions League. He hasn't shown any weaknesses so far," McBride told us-bookies.com .
"Right now, he's probably not in the best form of his career as he isn't playing each week, but the talent is there and his thought process is very quick.
"He's a very mature young player and has a desire to continually improve. When you have that kind of mentality, you can deal with the physicality in the Premier League and at a team like Chelsea this will help him settle in."