As i understood it, the 60 minute flight does not necessarily have to be with a "fully qualified, fully rated, JAA flight instructor" as Keygrip puts it, it could be with a Class Rating Instructor (CRI)
LASORS section F page 9 refers
"...12 hours flight time in SEP aircraft as appropriate to include;
1) 6 hours PIC
2) 12 take offs and landings
3) a training flight of at least 1 hours duration with a FI(A) OR CRI(A) who must countersign the appropriate logbook entry blah blah blah
So don't shun the humble CRI, if you can find one they are a lot cheaper(if the dont hold a CPL they cannot accept payment) than a full FI and you can usually use your own a/c