The 47-year-old has come under pressure following Scotland's disappointing start to the 2014 World Cup qualifying campaign.
The Scots are currently at the bottom of Group A with just two points from four matches.
"I don't think removing Craig from his position is going to solve the problem," Weir told the BBC .
"I don't think that, by removing Craig, we'll all of a sudden qualify for championships - I don't think that's the case. I don't think changing the manager is going to solve the problem."
Weir is currently serving as a reserve team coach at Everton.