Baker knows what is required to win the Coolmore Stud Stakes, scoring with Ozzmosis in 2023, who like Paradoxium, was beaten in the Roman Consul before winning a jump-out at Flemington in the lead-up to his victory.
"He's a fast horse," Baker said of Paradoxium.
"He won really well down the straight the first time and it was 800 (metres) the jump-out and you can look into it too much, but he's going well and he's a lot fitter for his last run.
"It's a big ask. It's a hard race to win the Coolmore, but I'm very much following what I did with Ozzmosis going through the Roman Consul and then a jump-out.
"Ozzmosis was very impressive, albeit from back in the field and made ground when he had the jump-out.
"It's a big day, the Coolmore, but I love the horse.
"He's very fast and hopefully he can utilise that speed."
Baker doesn't see the 1200m journey being a problem for Paradoxium on Saturday, although he conceded a slightly lesser trip would be more beneficial.
"It is a question mark, no doubt about it," Baker said.
"I wish it was 1100 metres because he is exceptionally quick. He's got a high speed.
"He'll be better for his last run, and he's won at 1200 metres before.
"He won the Group 2 Todman as a two-year-old, so we know he can get the trip, it's just whether he can get it against these top line three-year-olds."
