More than 50,000 attended last year's entertaining draw against the Tigers and Quins are now hoping for an even bigger crowd when Wasps are the opposition on December 27.
Quins sold 3,000 tickets for the event prior to the official announcement , with the majority of seats available for just £10.
The Stoop has a capacity of only 12,700 and chief executive Mark Evans will be hopeful that the decision to move the match to Twickenham will help grow the club's support base and raise awareness of the Quins product.
Quins are in need of some positive news after a controversial few months following April's Heineken Cup quarter-final defeat to Leinster at The Stoop.
The 'bloodgate' affair has significantly tarnished Quins' reputation and seen the club heavily fined and former director of rugby Dean Richards banned from the sport for three years.