Tullius bids to stay on an upward curve when he goes in search of a hat-trick in the Ian and Kate Macmillan Ganton Stakes at York on Saturday.
The four-year-old has won both his starts since joining the Andrew Balding team when Peter Winkworth retired from training at the end of last season.
After winning a Newmarket handicap in early May, the Le Vie Dei Colori gelding lifted a Listed contest at Windsor, for which he is penalised 3lb in this race.
"He's learning his trade, won well last time and I've had chance to freshen him up," said Balding.
"He seems in good form. It's a tricky race and he's got a penalty to carry, but he's in great order."
Richard Hannon would like to run Rockinante, but will wait to see how conditions are before deciding whether to let the three-year-old colt take his chance.
"We have declared Rockinante, but we will see what the weather does before we give the green light," he told www.richardhannonracing.tv.
"He did not run his race in Italy last time, but that is a long journey by road and he is better judged on his third in the Prix Djebel, which would give him a definite chance."