"Gary Mackay-Steven has been terrific this season and I think it is only right that we recognise young Scottish talent," Strachan told the SFA website.
"Liam is a player I have known for a while and is highly regarded in the holding midfield position.
"Again, George is a player I have watched for years - I tried to sign him at Middlesbrough - and is in good form at Hull."
Scotland are currently bottom of Group A after four games.
Squad in full
Matt Gilks (Blackpool)
David Marshall (Cardiff City)
Allan McGregor (Besiktas)
Christophe Berra (Wolverhampton Wanderers)
Gary Caldwell (Wigan Athletic)
Daniel Fox (Southampton)
Grant Hanley (Blackburn Rovers)
Alan Hutton (Real Mallorca)
Russell Martin (Norwich City)
Charlie Mulgrew (Celtic)
Andy Webster (Heart of Midlothian)
Charlie Adam (Stoke City)
Liam Bridcutt (Brighton and Hove Albion)
Chris Burke (Birmingham City)
Kris Commons (Celtic)
Graham Dorrans (West Bromwich Albion)
James Forrest (Celtic)
Gary Mackay-Steven (Dundee United)
James McArthur (Wigan Athletic)
James Morrison (West Bromwich Albion)
Robert Snodgrass (Norwich City)
George Boyd (Hull City)
Steven Fletcher (Sunderland)
Ross McCormack (Leeds United)
Shaun Maloney (Wigan Athletic)
Kenny Miller (Vancouver Whitecaps)
Steven Naismith (Everton)
Jordan Rhodes (Blackburn Rovers)