The newspaper added that the pilot was able to raise the alarm signal before falling.
Search teams are currently looking for the missing jet, which they believe could have crashed in the Adriatic.
More top news
See how your area fares.
The world's first ever 'hole in the wall' was installed in Enfield, north London, on June 27 1967.
America says it has "identified preparations" for an attack similar to that which killed at least 86, including 30 children, in April.