"We want to end the state of emergency as soon as possible," Numan Kurtulmus said in quotes carried by private NTV television.
"If conditions return to normal, we think it will take a one or one-and-a-half month period at the maximum. I hope there will be no need for a further extension."
Turkey imposed a state of emergency as it presses ahead with a crackdown on suspects accused of staging the failed coup, blamed by the government on supporters of US-based cleric Fethullah Gulen.