The rumour mill has gone into overdrive since the 15-year-old made his debut in the home game against Watford to become the youngest Palace player ever.
Portsmouth have apparently had a £2m bid rejected, paving the way for Fulham to offer the youngster a quick route into the Premiership.
But such stories are nonsense, according to Warnock.
"No disrespect to Fulham but I think we've got more chance of signing David Beckham", he told the Croydon Guardian.
"There's all this speculation - but I've not heard from anybody about Bostock."