(CNN) A 2-year-old girl is recovering after she was injured at a Florida zoo during a private rhino encounter experience, zoo officials and her family said.

The toddler and her family were taking part Tuesday in a close-up experience with white rhinos at the Brevard Zoo in Melbourne, Florida, when the girl stumbled and came into contact with at least one of the animals, zoo officials said.

The family of three had been given access to feel and brush the rhinos while supervised by two zookeepers in an area of the zoo where they were separated from the animals only by steel posts.

The toddler stumbled backward between two posts and "basically sprawled into the exhibit," zoo executive director Keith Winsten told CNN's "New Day" on Thursday morning.

The posts are roughly 11 inches apart, said Andrea Hill, the zoo's marketing and communications director.

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