A second-half comeback saw Inter recover from 2-0 down to beat Milan 4-2 in a pulsating derby at San Siro.
Marcelo Brozovic, Matias Vecino, Stefan de Vrij and Romelu Lukaku scored in the second half, moving Inter level on points with Juventus.
But Conte said the title was not in Inter's hands, with Juve chasing a ninth straight Scudetto.
"It is a dream for us, as well as for Lazio. It can be like that also for Atalanta or Roma," the Inter head coach told a news conference.
"We are talking about a championship dominated by one team over the years that fully deserved to win.
Conte added: "Everything will depend on Juventus. I have heard also some Juventus players saying so.
"At the same time, we must be ready."
Goals from Ante Rebic and Zlatan Ibrahimovic had put Milan in control before Inter's fightback, with Conte's side drawing level just eight minutes into the second half.
Conte said Inter's improved depth was helping, having added Christian Eriksen, Ashley Young and Victor Moses to his squad in January.
"Honestly, we never had major physical problems," he said.
"The only issue is that in the first part of the season we had to play mostly with the same players.
"When the same people play every three days it is inevitable that you will pay a price in terms of physical condition.
"Today, we have the chance to make some more turnover."