The promise was made by Ghanaian politician and 2020 Presidential candidate for the Liberal Party of Ghana, Kofi Akpaloo.
Hearts will face the Moroccan giants in the first leg of the second round of the CAF Champions League on Sunday at the Accra Sports Stadium.
The Phobians set up a date with Wydad after defeating Guinean side CI Kamsar in the preliminary round last month.
Speaking ahead of the game, Mr. Akpaloo said he will reward each player with a GHc1,000 if they win, adding that coach Samuel Boadu will also receive GHc2,000 should they emerge victorious.
"I will give every Hearts player GH¢1,000 should they beat WAC on Sunday,” he told Kumasi-based OTEC FM.
"I will give every Hearts of Oak player GH¢1,000 and ¢2,000 to the coach should they beat WAC at the Accra Sports Stadium on Sunday.
"So far as Hearts is a Ghanaian team, it's my prayer they progress to the next stage of the competition. They should go all out with the Phobian spirit as they did to win the Ghana Premier league.”
Hearts qualified for the CAF Champions League after winning the 2020/21 Ghana Premier League.
The Phobians went on to secure their first double since 2000, when they defeated Ashanti Gold to win the FA Cup.