Tuilagi has been ruled out of the clash with an ankle injury, with Bartitt now expected to line up alongside Billy Twelvetress in midfield.
"Manu is a fantastic player and he is an asset to any team, but no team is reliant on one person. We have known for a couple of weeks he wouldn't be involved," Barritt told reporters.
"That has allowed us to build the partnerships and I think people will be straight up to the mark straight away."
England have won their last three matches against Scotland.