The Associated Press reported Friday that it was Taylor's second violation for a drug of abuse.
Taylor is on the roster of Bluefield of the rookie-level Appalachian League. The 19-year-old Spring, Texas, native was drafted by the Jays in the seventh round (216th overall) in 2010. Last year he went 4-2 with a 4.23 earned-runs average with 61 strikes outs in eight games started.
Taylor hails from the same high school and hometown as Red Sox ace Josh Beckett.
Twenty players have been suspended this year under the minor league drug program, including seven for drugs of abuse.