“I’m fine,” said Konta, 24. “Whatever comes, I’m enjoying it.”
Konta, who is guaranteed prize money of £370,000, is the first British woman to reach a major semi-final since 1983.
Jo Durie was the last person to achieve that feat, at the US Open in 1983.
Konta also joins Virginia Wade, the Australian Open champion in 1972, and Sue Barker, a semi-finalist in 1975 and 1977, as the only British women to reach the last four at the Australian Open since the open era began in 1968.