Shelbourne have moved to within three points of third-place Derry City in the SSE Airtricity League Premier Division.
Ali Coote and Sean Boyd were on target as Joey O'Brien's team won 2-nil at Sligo Rovers.
The Bit O'Red remain three points adrift of eight-place Galway United.
Shamrock Rovers manager Stephen Bradley thinks Derry City will come to Tallaght Stadium aiming to win this evening.
The Hoops are eight-points ahead of their rivals at the top of the SSE Airtricity League table, and victory would see them take another big step toward winning the title.
St Patrick's Athletic make the trip to Waterford for a 4pm kick-off at the RSC.