He showed the benefit of those first two runs when he streeted his rivals by six lengths over 1400m at Cranbourne on October 16 with Ben Melham aboard.
"Since he had that second-up run, where Ben gave him one around the bum for the first time ever in his life, it really switched him on and we saw what he did at Cranbourne," McDonald said of his development.
Conquer The World is raced in similar interests to stablemate Nikitria, who will also be in action at Flemington on Derby Day.
The daughter of The Autumn Sun will be given the chance to book her spot in Thursday week's VRC Oaks (2500m) via the Group 2 Wakeful Stakes (2000m).
Nikitria has been unplaced in two runs at 1600m since her first-up win over 1300m at Seymour on September 10 and McDonald has been looking forward to stepping her up in trip.
"We reckon she's looking for 2000 and we've put blinkers on her just to sharpen her up a little bit," McDonald said.
"She's been a victim of her barriers that filly, always having to go back because she hasn't drawn a gate, but if she draws a barrier she'll land in the first half-dozen and she'll stay all day."