Dickey made his scheduled start on Thursday and was the winning pitcher in Toronto's 7-1 win over the Mets.
"He told me he felt it was important that he go out there and honour his dad," manager John Gibbons said.
In a corresponding roster move, the Blue Jays recalled infielder Munenori Kawasaki from Triple-A Buffalo. This is Kawasaki's third stint with Toronto this season. In nine games entering Friday, he was hitting .273 (3-for-11) with a pair of doubles and one RBI.
Dickey can be on the bereavement list for a minimum of three days and a maximum of seven, but Gibbons said he expects the 40-year-old knuckleballer to rejoin the club on Monday. Gibbons said Dickey should be ready to make his next scheduled start, which is slated for Tuesday against the Rays.
Dickey, the 2012 National League Cy Young Award winner, was acquired by the Blue Jays before the 2013 season in a deal that sent prospects Travis d'Arnaud and Noah Syndergaard to the Mets. Dickey has gone 31-32 with a 4.13 ERA in 82 starts for the Blue Jays over the past three seasons.