The Montreal Alouettes own the draft rights of Tim Tebow in the Canadian Football League.
The Alouettes have Anthony Calvillo as their starter at quarterback, but the franchise is open to signing Tebow as their backup.
"He would be in a learning program behind Anthony," the source said.
Montreal would give Tebow an opportunity to practice and develop as a quarterback, an option that is not readily available to him in the NFL.
Tebow was released by the Jets on Monday.