Scrivener will take charge of Scotland's second string for the first time this month and will also coach the side in their first fixtures of 2011.
Scotland A face the USA in Gala on Friday, November 19, before taking on Italy on January 28 and Ireland on February 4.
"I'm honoured to have been given this opportunity, and I'm really looking forward to the games, especially the USA Eagles match because it's now only a couple of weeks away," said Scrivener.
"Myself and the rest of the management team will be doing everything we can to put the players in a position to win the game. That will be our overriding focus the whole week.
"We'll be tapping into the ability these guys have, and their desire to play for Scotland.
"You only have to look at players like Alex Grove, Richie Gray and Joe Ansbro to see that if you do well at this level, you do your chances with the national team absolutely no harm at all."
A former ACT Brumbie, Scrivener previously coached Australia A.
He will be assisted in his new role by a member of Lineen's former backroom staff, Stevie Scott.
"These games are an ideal opportunity for people in the Borders to see some outstanding talent on both sides," added Scott.
"Everyone who came along to the Tonga match last year knows that it was the start of a great rugby weekend, with the full team beating Australia at Murrayfield the following day.
"We'll be doing everything we can to make sure we give the fans another night to remember against the USA, and I'm really looking forward to seeing players show they've got what it takes to compete and win at international level."