The three-year-old colt was the favourite heading into the race with odds of 2.9 to 1 to win.
"I don't know", said Brown, who won the Preakness past year with new-shooter Cloud Computing.
"Right now I'm thinking just keep him healthy", he said. Baffert has trained five Derby winners, one shy of the all-time record, and no Derby victor of his who has raced the Preakness has failed to win it. The next challenger up was Good Magic who ranged up on the outside of Justify but was never able to catch him.
The white-haired trainer smashed a jinx that stood for 136 years when Justify splashed through the slop to win the Kentucky Derby by 2½ lengths on Saturday.More news: Air France CEO resigns after employees reject wage offer
Justify moved into the lead by the 1-mile pole and cruised from there, crossing the finish line in 2 minutes, 4.20 seconds.
"For a horse to do what he has done he has to be really great", Baffert said. "That's the best Kentucky Derby-winning performance that I brought up here". I don't know if he's so strong or Mike (age 52) is just too old to pull him up. "When we won his second race we were in Pharoah territory". But he said: "I've never been on a 3-year-old like this". Baffert's other victories came with Silver Charm (1997), Real Quiet (1998), War Emblem (2002) and Triple Crown victor American Pharoah (2015). "If he wins the Preakness then we'll see".
"We certainly feel like he's got a chance to go off in two weeks", owner Elliott Walden said. Trainer Todd Pletcher doesn't like running a horse after just a two-week break, so his four Derby entries - third-place Audible, Magnum Moon, Vino Rosso and Noble Indy - probably will not be shipped to Baltimore for the Preakness, which is capped at 14 horses.
"He ran beyond our expectations", said Bravaso trainer D. Wayne Lukas.