The ministry said the move followed "the declarations of the Austrian government concerning the deployment of troops to the Brenner Pass" on the border.
Vienna's defence minister was quoted Monday saying his country would "very soon" impose border checks and deploy soldiers on its frontier with Italy if the influx of migrants across the Mediterranean does not slow.
"I expect that very soon border controls will be activated and that an assistance deployment (by the military) will be requested," Hans Peter Doskozil told the online edition of the Krone daily.
Austria introduced checks on its eastern border with Hungary in 2015 and has readied physical measures such as barriers on its Italian border to the south-west, including at the famous Brenner Pass.
More than 85,000 migrants and refugees have arrived in Italy by sea this year, the UN refugee agency has said. More than 2,000 others have died or gone missing on the perilous crossing.