Two Oilers scouts have been in attendance for Toronto's last three home games.
Edmonton had scouts at several of the Leafs' games last season, and while the two teams did have trade discussions, nothing materialized.
The Oilers are looking for a two-way forward and a top-four defenseman, and while the Leafs have depth at both positions, it's unclear who they are willing to trade at this point.
Toronto has won four straight and has moved into fourth placed in the Eastern Conference, and are not on the verge of blowing up their roster.
With several players set to become unrestricted free agents this summer, like forwards Clarke MacArthur, David Steckel and Tyler Bozak, Leafs GM Dave Nonis is currently looking to make upgrades rather than sell off some of his assets.