On Friday, Murray announced he would be returning to singles action for the first time since January and receiving a wildcard.
And the British star will open his tournament against Frenchman Richard Gasquet.
Should Murray come through that match, he will face Dominic Thiem in the second round.
The top eight seeds have a bye in the first round and Novak Djokovic will begin the defence of his title against either Sam Querrey or Pierre-Hugues Herbert.
Roger Federer will play the winner of Matteo Berrettini and Juan Ignacio Londero
Should Rafael Nadal decide to play in Ohio, he will open his campaign against either Cristian Garin or Adrian Mannarino.
Should Djokovic and Federer come through their section of the draw, they are projected to meet in the semi-finals.
Notable first-round matches include Stan Wawrinka vs Grigor Dimitrov and Gael Monfils vs Frances Tiafoe.