Hutchison pitched 6 2/3 strong innings at Rogers Centre on Sunday in Toronto's 3-1 victory that avoided a three-game Yankees sweep.
Hutchison is tied for sixth in the American League in wins but has been inconsistent, especially on the road, and has a 5.06 ERA.
The move comes as Toronto looks to shorten its starting rotation in preparation for a run at the AL East title. The Jays entered Monday a half-game back of the Yankees for the division lead.
Hague leads the International League with a .348 batting average, 83 RBIs, a .427 on-base percentage and 161 hits.
The Jays said a roster move to fill Hutchison's spot on the roster will be made Tuesday.