“The terrorist threat has intensified across Europe and Austria is no exception,” he said, adding that large concerts were “often a favourite target for Islamist attackers”.
Coldplay will perform seven concerts in Vienna starting August 21 as part of their Spheres World Tour.
Mr Hayyaw-Pirchner said there was no specific information indicating a threat to the upcoming event in Austria, but security measures remained high.
Swift's Vienna concert was part of her European leg of the Eras Tour, which kicked off in Paris in May.
The tour toured several countries including Sweden, England, Ireland, the Netherlands, Italy, Germany and Poland.
Swift is scheduled to perform five shows at London's Wembley Stadium next week.
Britain's police minister Diana Johnson said Scotland Yard would review information ahead of the Wembley Stadium date.
London Mayor Sadiq Khan told Sky News the city would “carry on” and police would work with city hall and councils to ensure the concert went ahead safely.
