During the past week, the video has garnered more than 1.5 million views and has been shared tens of thousands of times.
"My favourite video I've ever filmed!" Ms Allen commented on her post.
"Magic moment for me. Make sure you can have the volume on as that's half the fun."
Ms Allen can be heard giggling throughout the video as the sheep streamed past her vehicle.
"This is wonderful, this is New Zealand," she said in the video.
The video comes barely a week after another viral video of sheep crossing a road near Queenstown effectively putting an end to a police chase.