This rap can be found on Season 1 Episode 15 Injured. It is a rap dedicated to Nick when they think he may have cancer and everyone is worried for his life. So, here you go, get your Nick Miller on ya'll:
Schmidt: Nick Miller almost a lawyer
Winston (singing): This is a sad song, this is the saddest song in the world
Schmidt: Yes it is
Nick (singing): This is the saddest- you just keep singing
Winston: Okay- This is a sad song. hey, hey, mmmhmmm, saddest song in the world
Nick: You gotta nice voice man
Cece: It is so weird being sober right now
Nick: Can I get some weird rapping?
Schmidt: Nick Miller, Nick Miller, from the streets of Chicago. 'cause players play like they do like they did
Winston: Mmmmhmmm Sad song
Schmidt: 'Cause the ballers ball in the p- in the hood 'cause he's China town hustle
Winston: In the world
Schmidt: Nick Miller of Chicago represent him 'cause the players don't play and the players in the city.
Nick: Nick Miller, Nick Miller, is a stone cold killer
Schmidt: Huh! Sing it, y'know.
Nick: Likes the taste of vanilla
Cece: Nick Miller, Nick Miller he's the illest of the ill.
Scmidt: Cece's rapping!
Cece: He's pours a hundred drinks and none have ever spilled
Winston: Unless he's super high on a bunch of pain pills
Schmidt: His favourite movie is the big chill
Cece: He' got a hairy chest 'cause he eats a balanced meal
Winston(singing) : Hey, hey
Schmidt: Some mad flavour in his ears
Winston (singing): Sad song! Owwwwh!
Schmidt: 'Cause the ice in my glass represents the tears from my eyes 'cause I love you dawg
Winston: This is a sad song
Schmidt: Nick Miller, Nick Miller, yo the streets of Chicago. Rough and tumble, one love you ma heart
Jess: Nick Miller, Nick Miller never does anything.

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Guide to New Girl
FanfictionWho's that girl? It's Jess! Jess is the new girl. Nick is the grump. Schmidt is the player. Winston is Brown Lightning. Cece is the model. The four roommates and one of their friends seem like an unlikely bunch. But they prove they need each...