The League Two outfit will hand the sum over to the Cash for Kids charity.
The Coatbridge club are set to benefit to the tune of £250,000 after taking new League One champions Rangers to a quarter-final replay.
Sky has already screened the first game between the sides which ended in a 1-1 draw and will now televise Monday night's decider at New Douglas Park.
Rovers chairman John Devlin said on his club's website: "So often Albion Rovers as a club have gone cap in hand to others looking for sponsorship and money.
"We are absolutely delighted to give £10,000 to the Cash For Kids Appeal."