The incident happened after a fight broke out near the junction of Boar Lane and Albion Street at about 4am.
A man thought to be aged in his 20s was stabbed – possibly in the left side of his chest – during the disturbance.
He was said to be “conscious and speaking” before being taken to hospital for treatment for non life-threatening injuries.
Police have made two arrests in connection with the incident and enquiries are ongoing.
Officers were called to the scene at 4.12am and a cordon remains in place.