Johnson, who is suffering from a sore right triceps, is temporarily scheduled to go Friday against the Mariners, with Dickey following a day later.
However, everything is tentative, as the Blue Jays wait for results from an MRI on Dickey's back and to see how Johnson's triceps responds to some pitching.
"Josh, he'll play catch today, throw a light side [session] tomorrow and then we'll see where he's at," manager John Gibbons said.
Evan Peaslee is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.