The Spain international and Barcelona center back has warned that the first month for Gareth Bale at his new club in particular could be a difficult time.
Pique recently stated that he has little doubt that Bale will eventually do well at the Spanish club, but he thinks the Welshman will need time to get used to his new surroundings and the demands at a big club like Real Madrid.
"You never know how he will adapt to a dressing room like Madrid's with a lot of stars like Cristiano [Ronaldo] and [Karim] Benzema," Pique told Sky Sports. "Real Madrid are such an immense team - a big, big club. Everyone wants to know something about the players, about Bale too.
"When you're playing for a great team like Madrid, with a lot of pressure because you have to win every game, it's a difficult life.
"I hope he can play well, but we will see. The first month will be more difficult, then it will be a bit more relaxed."
Bale could make his official Madrid debut Saturday when Los Blancos travel to face Mexican internationals Giovani Dos Santos, Javier Aquino and Villarreal.