Alternatively, Strachan could turn Swansea's Stephen Kingsley or Blackburn utility man Charlie Mulgrew.
But after watching Wallace net the opener in Gers' 3-0 win over Kilmarnock, Warburton insists the Rangers captain would not let his country down in London.
Wallace gave the hosts the opener after 16 minutes when he darted on to a sublime Josh Windass pass to beat Jamie MacDonald at his near post.
"I have no doubts about Lee Wallace," Warburton said. "He is a top-class professional and an outstanding captain of the club so never have any worries about Lee Wallace."