The 21-year-old was taken to Queen Alexandra Hospital in Cosham after a '˜domestic dispute' between two workers atÂ Wimpy at Funland Amusements on Hayling Island.
Police were called to the scene shortly before 3.30pm yesterday after reports of an assault.
They confirmed a woman had suffered stab wounds in an '˜isolated incident'.
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A 20-year-old man from Havant has been arrested on suspicion of attempted murder and remains in custody.
Officers, who are continuing to investigate, said the woman's injuries are not life-threatening.
Anyone with information should call police on 101, quoting the crime reference number 44180440642.
Alternatively, call Crimestoppers anonymously on 0800 555 111.