How to say “Could you lead him out and let him trot so the vet can watch?” in Japanese

In Japanese

獣医(じゅうい)さんに歩(ある)き方(かた)を見(み)てもらうから、外(そと)に連(つ)れ出(だ)して速歩(はやあし)させてくれる？

Jūi-san ni arukikata o mite morau kara, soto ni tsuredashite hayaashi sasete kureru?