Monk describes the 22-year-old as a very good footballer who suits the Swans style, like former midfielder Joe Allen who was sold to Liverpool two years ago, and Leon Britton who is still at the club.
The Swansea boss is quoted in the South Wales Evening Post, saying: "He can come here and show that good side of football we need — he's good with the ball, can pass and move and get himself in good positions. I think he'll offer us another option.
"A lot of people will talk about the strength side of the game, but we've shown over the years with Leon and Joe Allen that if you pass the ball quickly and move quickly it doesn't matter about the physical side of the game," Monk added.
"Tom can improve on that side, but he suits our philosophy and I think he can do well for us and show what a good footballer he is and we believe he is.
"I would put him in the same bracket as Joe and Leon. He's that type of player."
If these comments are anything to go by, it would seem that Monk views Carroll as a potential key man in his midfield this season, though he is likely to face some stern competition from the likes of Ki Sung-Yeung, Jonjo Shelvey, Gylfi Sigurdsson and Britton amongst others in the middle of the park.
But with a side that enjoys having the Lion's share of possession, Carroll will have the opportunity to demonstrate his technical ability in a solid side going forward.
One comparison Monk makes is with Joe Allen, who impressed former manager Brendan Rodgers enough for him to secure a move to Liverpool and end up being part of a side that was in the title race and able to secure Champions League football.
Spurs will be hoping that Carroll develops into a player capable of fighting his way into the team if and when he returns to White Hart Lane, and can ultimately end up contributing on the big stage in the biggest competitions.