Tottenham Hotspur have been linked with the Barcelona star.
Losing the 28-year-old would surely mean that Tottenham would need a replacement, with much-maligned Ben Davies the club's only other option, but Burley isn't buying the idea that Mauricio Pochettino could get the Champions League winner in.
He told ESPN: "Why would he leave Barcelona to go to Tottenham? Champions League winners, La Liga winners, and potential Champions League winners again this year - to join a team who aren't in the title race in England.
"They're talking about Rose is going to leave but although they might go for another left-back, I don't think that one's going to happen."
Ernesto Valverde's Barcelona side boast a five-point lead at the summit of the Primera Division and the Spaniard has started 12 of their 14 league games so far.
Alba, who has two and a half years left on his contract, is very much an important player at Camp Nou and it does seem unlikely that they would be willing to offload him.