The talented youngster enjoyed game time for the Reds in pre-season, but he will be hoping to make an impression in competitive games.
Brewster has been named in the squad to face Napoli in the Champions League on Tuesday, and Henderson believes he is ready to perform.
He said: "Rhian has been really good. Pre-season he was really strong, in training he's been really good.
"It gives us another option of course, we've got a lot of strength in this squad.
"He's been doing really well and he just needs to continue in that way."