A weeping balloon catheter includes a catheter having an elongate tubular body defining an inflation lumen and a combination lumen that terminates at an open distal end of the elongate tubular body. A dilation balloon is disposed at a distal end of the elongate tubular body and is in fluid communication with the inflation lumen. A drug delivery balloon is disposed at least partially over the dilation balloon and includes at least one drug release opening through an outer wall of the drug delivery balloon. The drug delivery balloon is in fluid communication with the combination lumen through a sidewall opening of the elongate tubular body.