The Welsh ace is still running the Bolton midfield despite enjoying his 36th birthday in September.
Allardyce joked: "Gary Speed needs a biologist to dissect his body and find out why he's beyond being a normal human being.
"If I could clone what he has I would be in a massive palace with 16 maids around me and 55 cars - because it would be that valuable."
But Speed insisted: "We have great staff here and if you buy into what they say it can benefit you.
"That's what I've been doing since I came here."
Meanwhile, Sam Allardyce admits he needs to bring in new signings in January.
Allardyce said he will be forced to bring in new names in January because he is likely to lose five players to the African Cup of Nations.
"I think we will almost certainly have to do something," he told the Sunday Mirror.
"It will most likely be loan signings if they are available."