The Portuguese winger was a virtual unknown before United splashed out £7million to take him to Old Trafford back in August.
Such a hefty price tag has helped to raise expectations, with the 20-year-old now under pressure to deliver on his promise.
He has been restricted to just one substitute outing in the Carling Cup so far, offering supporters little opportunity to judge the new recruit.
He is, however, believed to be a hot prospect for the future, with Sir Alex Ferguson having made a habit of unearthing hidden gems down the years.
With that in mind, veteran full-back Neville is keen to see Bebe given the time and space he needs in which to realise his potential.
"It was good to see Bebe get his first taste of first-team action," he said.
"United have signed lots of youngsters in recent years - (Cristiano) Ronaldo, (Federico) Macheda, the da Silvas - so I don't understand the fuss about Bebe. It's a bit unfair on him.
"He has a lot of raw talent, two great feet, he's extremely quick and he's learning all the time."