The former Aberdeen, Manchester United and Leeds midfielder is under pressure after Sunday’s 2-2 draw in Slovenia cost them a play-off place ahead of the World Cup in Russia next summer.
But Lambert, who won 40 caps for his country, says Strachan should be given the chance to build on the improvements made during the second half of this qualification campaign.
“You’re going to get all of these questions when a team doesn’t qualify for a World Cup,” he told the Alan Brazil Sports Breakfast. “People say the manager’s got to go and we’ll change this and change that.
‘But I think he’s done a great job in the last six or seven games. We were nowhere near it [qualification] after the first three or four games and he turned it around. Who else is there to go in and do it?
“You can only pick the best players available and the cry of ‘he’s got to go’ is premature.”