Bobbi Kristina Brown has undergone a Tracheotomy.

Bobbi Kristina Brown

Bobbi Kristina Brown

The daughter of the late Whitney Houston underwent the surgical procedure, which will allow her to breathe through her neck via a small incision, this week to help prevent the chances of an infection as she currently fights for her life in a coma.

A source told PEOPLE.com: "The tracheotomy is a different place for the tube to go. Everything else remains the same. It's a waiting game. The family is hoping and waiting.

"It's a normal procedure to have the tracheotomy because if you have a breathing tube down there for a long time, it can cause an infection.She is still critical and we don't know what the outcome will be. No one is giving up on this kid."

The 21-year-old aspiring actress has been on life support in hospital since she was found face-down, unresponsive, in a bathtub at her home in Georgia on January 31.

Her father Bobby Brown and her other relatives have remained at her bedside since the tragedy and are hopeful the youngster will make a full recovery after showing signs of improvement.

Her auntie, Leolah Brown, said recently: "I'm very hopeful everything will be okay with Krissi. There are so many signs showing us she will be okay in spite of what people are saying. Krissi is fine, as I sit here before you today."

Meanwhile, Bobbi's partner Nick Gordon, 25, has reportedly been banned from seeing her at Emory University Hospital in Atlanta following the incident as her father allegedly believes her lover may be to blame for the brunette beauty's current state.

Nick was unofficially adopted by Whitney when he was 12 years old and he and Bobbi claimed last year that they had married.

But her father's lawyer recently revealed they never legally tied the knot.

Police have launched a criminal investigation to find out what happened to Bobbi in the lead up to the tragedy.