The Seahawks reportedly postponed the meeting when Kaepernick did not offer them an assurance that he wouldn't kneel during the national anthem moving forward, per Schefter.
Until the Morris signing becomes official, Russell Wilson is the only quarterback on Seattle's roster.
The Seahawks released previous backup Trevone Boykin in March amid allegations that he choked his girlfriend.
Washington signed Morris in January before waiving him Monday, and the 25-year-old has never attempted a regular-season pass.
Morris' lack of playing experience suggests Kaepernick and other quarterback options may still be on the table for Seattle.