Usually people spell it as "Dmitri"...
And yes, if you like it. It's Russian, so if you are a Russian family, go for it! :)
Dimitri Leonidas's birth name is Dimitri Leonidas.
Dimitri Romanoff's birth name is Dimitri Theodore Romanoff.
Dimitri Tiomkin's birth name is Dimitri Zinovievich Tiomkin.
Dimitri Nabokov's birth name is Dimitri Vladimirovich Nabokov.
Dimitri Patterson's birth name is Dimitri Jonthiel Patterson.
Dimitri Morantus's birth name is Carl Dimitri Morantus.
Dimitri Hamlin's birth name is Dimitri Alexandre Hamlin.
The name Dimitri in French is also spelled Dimitri, pronounced as "dee-mee-TREE".
Dimitri DeFresco's birth name is Iervolino, Dimitri Alexis de San Giorgio.
Dimitri Takaishvili's birth name is Takaishvili, Dmitri Georgiyevich.
Dimitri Buchowetzki's birth name is Dmitry Savelyevych Bukhovecky.
Dimitri Kirsanoff's birth name is Marc David Kaplan.